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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Partial Differential Equations. Papers on this page are organised in collections from 35- through 35S, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

35-XX: Partial differential equations 35Axx: General topics 35Bxx: Qualitative properties of solutions 35Cxx: Representations of solutions 35Dxx: Generalized solutions 35Exx: Equations and systems with constant coefficients 35Fxx: General first-order equations and systems 35Gxx: General higher-order equations and systems 35Hxx: Close-to-elliptic equations and systems 35Jxx: Elliptic equations and systems 35Kxx: Parabolic equations and systems 35Lxx: Hyperbolic equations and systems 35Mxx: Equations and systems of special type 35Nxx: Overdetermined systems 35Pxx: Spectral theory and eigenvalue problems 35Qxx: Equations of mathematical physics and other areas of application 35Rxx: Miscellaneous topics 35Sxx: Pseudodifferential operators and other generalizations of partial differential operators

Partial differential equations (35-XX)

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Article
DYNAMICS OF NONLOCAL KURAMOTO–SIVASHINSHY EQUATIONS WITH MULTIPLICATIVE WHITE NOISE
XIAOPENG CHEN, HAN GAO
The ANZIAM Journal, Volume 67

Article
Normalized multi-bump solutions of nonlinear Hartree equation with steep potential well
He Zhang, Shuai Yao, Haibo Chen
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
A k-Hessian equation with a power nonlinearity source and self-similarity
Justino Sánchez
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Shrinking vs. expanding: the evolution of spatial support in degenerate Keller–Segel systems
Mario Fuest, Frederic Heihoff
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Tunable localisation in parity-time-symmetric resonator arrays with imaginary gauge potentials
Habib Ammari, Silvio Barandun, Ping Liu, Alexander Uhlmann
Forum of Mathematics, Sigma, Volume 13

Article
A geometric approach to pinned pulses in a class of non-autonomous reaction–diffusion equations
Yuanxian Chen, Jianhe Shen
European Journal of Applied Mathematics, First View

Article
Smooth solutions to the Christoffel–Minkowski problem in hyperbolic space
Yating Lei, Lu Xu, Yutian Zhou
Canadian Journal of Mathematics, First View

Article
Optimal boundary regularity of proper harmonic maps between asymptotically hyperbolic spaces
Jingru Niu
Canadian Journal of Mathematics, First View

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General topics (35Axx)

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Qualitative properties of solutions (35Bxx)

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Representations of solutions (35Cxx)

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Article
A k-Hessian equation with a power nonlinearity source and self-similarity
Justino Sánchez
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Schwartz very weak solutions for Schrödinger type equations with distributional coefficients
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello, Claudia Garetto
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Tunable localisation in parity-time-symmetric resonator arrays with imaginary gauge potentials
Habib Ammari, Silvio Barandun, Ping Liu, Alexander Uhlmann
Forum of Mathematics, Sigma, Volume 13

Article
Equilibrium and non-equilibrium diffusion approximation for the radiative transfer equation
Elena Demattè, Juan J. L. Velázquez
European Journal of Applied Mathematics, First View

Article
Travelling breather solutions in waveguides for cubic nonlinear Maxwell equations with retarded material laws
Sebastian Ohrem, Wolfgang Reichel
Journal of Nonlinear Waves, Volume 1

Article
Optimal boundary regularity of proper harmonic maps between asymptotically hyperbolic spaces
Jingru Niu
Canadian Journal of Mathematics, First View

Article
Small-amplitude periodic travelling waves in dimer Fermi–Pasta–Ulam–Tsingou lattices without symmetry
Timothy Faver, Hermen Jan Hupkes, Jay Douglas Wright
Journal of Nonlinear Waves, Volume 1

Article
The inverse scattering theory of Kadomtsev–Petviashvili II equations
Derchyi Wu
Journal of Nonlinear Waves, Volume 1

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Generalized solutions (35Dxx)

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Equations and systems with constant coefficients (35Exx)

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Article
Linear evolution equations on the half-line with dynamic boundary conditions
D. A. SMITH, W. Y. TOH
European Journal of Applied Mathematics, Volume 33, Issue 3

Article
AN APPROPRIATE APPROACH TO PRICING EUROPEAN-STYLE OPTIONS WITH THE ADOMIAN DECOMPOSITION METHOD
ZIWIE KE, JOANNA GOARD, SONG-PING ZHU
The ANZIAM Journal, Volume 59, Issue 3

Article
ESTIMATES FOR SOLUTIONS TO DISCRETE CONVOLUTION EQUATIONS
Christer O. Kiselman
Mathematika, Volume 61, Issue 2

Article
A NEW FORMULA FOR ADOMIAN POLYNOMIALS AND THE ANALYSIS OF ITS TRUNCATED SERIES SOLUTION FOR FRACTIONAL NON-DIFFERENTIABLE INITIAL VALUE PROBLEMS
M. M. KHADER
The ANZIAM Journal, Volume 55, Issue 1

Article
On continuation of quasi-analytic solutions of partial differential equations to compact convex sets
Wojciech Abramczuk
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 39, Issue 3

Article
Higher order elliptic boundary value problems in spaces with homogeneous norms
A. J. Pryde
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 31, Issue 1

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General first-order equations and systems (35Fxx)

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Article
Entire solutions of product type nonlinear partial differential equations in $\mathbb{C}^n$
Feng Lü, Zimeng Ma
Glasgow Mathematical Journal, First View

Article
STOCHASTIC MODELLING OF WILDFIRE SPREAD
SAHAR MASOUDIAN
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
The discontinuous Petrov–Galerkin method
Leszek Demkowicz, Jay Gopalakrishnan
Acta Numerica, Volume 34

Article
On meromorphic solutions of certain partial differential equations
Feng Lü
Canadian Mathematical Bulletin, First View

Article
Time almost periodicity for solutions of Toda lattice equation with almost periodic initial datum
HAOXI ZHAO, HONGYU CHENG
Ergodic Theory and Dynamical Systems, Volume 45, Issue 8

Article
Models for information propagation on graphs
Oliver R. A. Dunbar, Charles M. Elliott, Lisa Maria Kreusser
European Journal of Applied Mathematics, Volume 36, Issue 5

Article
OPTIMAL QUEUING STRATEGIES FOR AN M/G/1 RETRIAL QUEUE SYSTEM WITH RWV AND ISEV POLICIES
Z. CHEN, H. XU, H. HUO
The ANZIAM Journal, Volume 65, Issue 4

Article
On large solutions for fractional Hamilton–Jacobi equations
Gonzalo Dávila, Alexander Quaas, Erwin Topp
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 5

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General higher-order equations and systems (35Gxx)

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Article
The inverse scattering theory of Kadomtsev–Petviashvili II equations
Derchyi Wu
Journal of Nonlinear Waves, Volume 1

Article
Spatio-temporal behaviour of SIR models with cross-diffusion and vital dynamics
Maryam Ahmadpoortorkamani, Alexei Cheviakov
European Journal of Applied Mathematics, Volume 36, Issue 5

Article
On Riemann–Hilbert problem and multiple high-order pole solutions to the cubic Camassa–Holm equation
Wen-Yu Zhou, Shou-Fu Tian, Zhi-Qiang Li
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Radial solutions of initial boundary value problems of nonlinear Schrödinger equations in ℝn
Shu-Ming Sun, Fangchi Yan
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
AN INVESTIGATION ON NONLINEAR OPTION PRICING BEHAVIOURS THROUGH A NEW FRÉCHET DERIVATIVE-BASED QUADRATURE APPROACH
S. GULEN, M. SARI
The ANZIAM Journal, Volume 66, Issue 4

Article
On the linearized Whitham–Broer–Kaup system on bounded domains
L. Liverani, Y. Mammeri, V. Pata, R. Quintanilla
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 1

Article
Estimates for evolutionary partial differential equations in classical function spaces
Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach, Madi Yerlanov
Forum of Mathematics, Sigma, Volume 11

Article
Fractional powers of higher-order vector operators on bounded and unbounded domains
Luca Baracco, Fabrizio Colombo, Marco M. Peloso, Stefano Pinton
Proceedings of the Edinburgh Mathematical Society, Volume 65, Issue 4

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Close-to-elliptic equations and systems (35Hxx)

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Article
Singular SPDEs on homogeneous lie groups
Avi Mayorcas, Harprit Singh
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
GLOBAL HYPOELLIPTICITY OF SUMS OF SQUARES ON COMPACT MANIFOLDS
Gabriel Araújo, Igor A. Ferra, Luis F. Ragognette
Journal of the Institute of Mathematics of Jussieu, Volume 23, Issue 5

Article
A note on monotonicity and Bochner formulas in Carnot groups
Nicola Garofalo
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 5

Article
The ground states of quasilinear Hénon equation with double weighted critical exponents
Cong Wang, Jiabao Su
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 3

Article
LOG-TRANSFORM AND THE WEAK HARNACK INEQUALITY FOR KINETIC FOKKER-PLANCK EQUATIONS
Jessica Guerand, Cyril Imbert
Journal of the Institute of Mathematics of Jussieu, Volume 22, Issue 6

Article
SPECTRAL INEQUALITIES FOR COMBINATIONS OF HERMITE FUNCTIONS AND NULL-CONTROLLABILITY FOR EVOLUTION EQUATIONS ENJOYING GELFAND–SHILOV SMOOTHING EFFECTS
Jérémy Martin, Karel Pravda-Starov
Journal of the Institute of Mathematics of Jussieu, Volume 22, Issue 6

Article
Riemannian approximation in Carnot groups
András Domokos, Juan J. Manfredi, Diego Ricciotti
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 152, Issue 5

Article
OBSERVABILITY OF BAOUENDI–GRUSHIN-TYPE EQUATIONS THROUGH RESOLVENT ESTIMATES
Cyril Letrouit, Chenmin Sun
Journal of the Institute of Mathematics of Jussieu, Volume 22, Issue 2

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Elliptic equations and systems (35Jxx)

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Article
Normalized multi-bump solutions of nonlinear Hartree equation with steep potential well
He Zhang, Shuai Yao, Haibo Chen
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
A k-Hessian equation with a power nonlinearity source and self-similarity
Justino Sánchez
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Schwartz very weak solutions for Schrödinger type equations with distributional coefficients
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello, Claudia Garetto
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation
Catalin Carstea, Ali Feizmohammadi
Forum of Mathematics, Sigma, Volume 13

Article
Smooth solutions to the Christoffel–Minkowski problem in hyperbolic space
Yating Lei, Lu Xu, Yutian Zhou
Canadian Journal of Mathematics, First View

Article
Optimization of the principal eigenvalue of the Neumann Laplacian with indefinite weight and monotonicity of minimizers in cylinders
Claudia Anedda, Fabrizio Cuccu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Optimal boundary regularity of proper harmonic maps between asymptotically hyperbolic spaces
Jingru Niu
Canadian Journal of Mathematics, First View

Article
Normalized ground states for a biharmonic Choquard equation with exponential critical growth
Wenjing Chen, Zexi Wang
Proceedings of the Edinburgh Mathematical Society, First View

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Parabolic equations and systems (35Kxx)

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Article
Shrinking vs. expanding: the evolution of spatial support in degenerate Keller–Segel systems
Mario Fuest, Frederic Heihoff
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Anisotropic area-preserving flows for plane curves and entropy inequalities
Yunlong Yang, Yanlong Zhang
Canadian Journal of Mathematics, First View

Article
Global dynamics of a degenerate reaction-diffusion cholera model with phage-bacteria interaction in a heterogeneous environment
Wei Wang, Teng Liu, Hao Wang
European Journal of Applied Mathematics, First View

Article
On the convergence of non-integer linear Hopf flow
Brendan Guilfoyle, Morgan Robson
Proceedings of the Edinburgh Mathematical Society, First View

Article
Global existence and some qualitative properties of weak solutions for a class of pseudo-parabolic equations with a logarithmic nonlinearity in whole $\mathbb{R}^{N}$
Claudianor Alves, Tahir Boudjeriou
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On a Santaló point for Nakamura-Tsuji’s Laplace transform inequality
Dario Cordero-Erausquin, Matthieu Fradelizi, Dylan Langharst
Forum of Mathematics, Sigma, Volume 13

Article
Existence-uniqueness theory and small-data decay for a reaction-diffusion model of wildfire spread
A. George Morgan
Canadian Mathematical Bulletin, First View

Article
A free boundary problem of competition-diffusion system with Dirichlet boundary condition
Shijie Gao, Jingjing Cai
Canadian Mathematical Bulletin, First View

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Hyperbolic equations and systems (35Lxx)

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Article
Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions
Mihaela Ifrim, Annalaura Stingo
Forum of Mathematics, Sigma, Volume 13

Article
Timelike asymptotics for global solutions to a scalar quasilinear wave equation satisfying the weak null condition
Dongxiao Yu
Forum of Mathematics, Sigma, Volume 13

Article
On blow-up for the supercritical defocusing nonlinear wave equation
Feng Shao, Dongyi Wei, Zhifei Zhang
Forum of Mathematics, Pi, Volume 13

Article
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus
Andreia Chapouto, Guopeng Li, Ruoyuan Liu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Travelling waves with continuous profile for hyperbolic Keller-Segel equation
Quentin Griette, Pierre Magal, Min Zhao
European Journal of Applied Mathematics, Volume 36, Issue 3

Article
Bifurcation of the travelling wave solutions in a perturbed (1 + 1)-dimensional dispersive long wave equation via a geometric approach
Hang Zheng, Yonghui Xia
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
A remark on Gibbs measures with log-correlated Gaussian fields
Tadahiro Oh, Kihoon Seong, Leonardo Tolomeo
Forum of Mathematics, Sigma, Volume 12

Article
Structural stability of transonic shock flows with an external force
Shangkun Weng, Wengang Yang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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Equations and systems of special type (mixed, composite, etc.) (35Mxx)

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Article
A study of transcendental entire solutions of several nonlinear partial differential equations
Hong Yan Xu, Hari Mohan Srivastava
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 4

Article
Regular solutions to the dissipative Aw–Rascle system
Nilasis Chaudhuri, Tomasz Piasecki, Ewelina Zatorska
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Functional separation solutions of the sinh-Gordon type equations
Giannis Polychrou
Canadian Mathematical Bulletin, First View

Article
On mixed local–nonlocal problems with Hardy potential
Stefano Biagi, Francesco Esposito, Luigi Montoro, Eugenio Vecchi
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Dynamical behaviour of a logarithmically sensitive chemotaxis model under time-dependent boundary conditions
Padi Fuster Aguilera, Kun Zhao
European Journal of Applied Mathematics, Volume 36, Issue 3

Article
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations
Yanbo Hu, Guodong Wang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
The roles of nonlinear diffusion, haptotaxis and ECM remodelling in determining the global solvability of a cancer invasion model
Chunhua Jin
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Structural stability of transonic shock flows with an external force
Shangkun Weng, Wengang Yang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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Overdetermined systems (35Nxx)

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Article
STABILITY RESULTS FOR NONLOCAL SERRIN-TYPE PROBLEMS, ANTISYMMETRIC HARNACK INEQUALITIES AND GEOMETRIC ESTIMATES
JACK THOMPSON
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems
Raz Kupferman, Roee Leder
Forum of Mathematics, Sigma, Volume 13

Article
Problems for generalized Monge–Ampère equations
Cristian Enache, Giovanni Porru
Canadian Mathematical Bulletin, Volume 67, Issue 2

Article
A FOURIER-TYPE CHARACTERISATION FOR GEVREY VECTORS ON HYPO-ANALYTIC STRUCTURES AND PROPAGATION OF GEVREY SINGULARITIES
Nicholas Braun Rodrigues
Journal of the Institute of Mathematics of Jussieu, Volume 22, Issue 5

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Spectral theory and eigenvalue problems (35Pxx)

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Article
Sharp Hardy and spectral gap inequalities on special irreversible Finsler manifolds
Sándor Kajántó
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Existence of minimizers of the stability constant of Caffarelli–Kohn–Nirenberg inequality
Shengbing Deng, Xingliang Tian, Juncheng Wei
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
The inverse scattering theory of Kadomtsev–Petviashvili II equations
Derchyi Wu
Journal of Nonlinear Waves, Volume 1

Article
Characters and transfer maps via categorified traces
Shachar Carmeli, Bastiaan Cnossen, Maxime Ramzi, Lior Yanovski
Forum of Mathematics, Sigma, Volume 13

Article
Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics
Jade Brisson, Bruno Colbois, Katie Gittins
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
Lp positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds
Andrea Bisterzo, Giona Veronelli
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions
Matteo Capoferri, Isabel Mann
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Generalized second order vectorial ∞-eigenvalue problems
Ed Clark, Nikos Katzourakis
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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Equations of mathematical physics and other areas of application (35Qxx)

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Article
Pensive Billiards, Point Vortices, And The Silver Ratio
Theodore Drivas, Daniil Glukhovskiy, Boris Khesin
Forum of Mathematics, Sigma, Volume 13

Article
Quantitative quasi-invariance of Gaussian measures below the energy level for the 1D generalized nonlinear Schrödinger equation and application to global well-posedness
Alexis Knezevitch
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
An extension theorem for weak solutions of the 3d incompressible Euler equations and applications to singular flows
Alberto Enciso, Javier Peñafiel-Tomás, Daniel Peralta-Salas
Forum of Mathematics, Pi, Volume 13

Article
Travelling breather solutions in waveguides for cubic nonlinear Maxwell equations with retarded material laws
Sebastian Ohrem, Wolfgang Reichel
Journal of Nonlinear Waves, Volume 1

Article
Optimization of the principal eigenvalue of the Neumann Laplacian with indefinite weight and monotonicity of minimizers in cylinders
Claudia Anedda, Fabrizio Cuccu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Well-posedness and averaging principle for non-Gaussian McKean–Vlasov stochastic differential equations with locally Lipschitz coefficients
Ying Chao, Jinqiao Duan, Ting Gao, Pingyuan Wei
Advances in Applied Probability, First View

Article
Ill-posedness issue on the Oldroyd-B model in the critical Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Well-posedness of Naiver–Stokes equations in logarithmic Q spaces covering $BMO^{-1}$ and its fractional counterpart
Meimei Shi, Pengtao Li, Zengjian Lou, Zhichun Zhai
Canadian Journal of Mathematics, First View

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Miscellaneous topics (35Rxx)

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Article
Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation
Catalin Carstea, Ali Feizmohammadi
Forum of Mathematics, Sigma, Volume 13

Article
Blow-up of cylindrically symmetric solutions for fractional NLS
Tianxiang Gou, Vicenţiu D. Rădulescu, Zhitao Zhang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On global fractional Calderón–Zygmund regularity for the fractional Dirichlet problem on Lipschitz domains
Xuelian Fu, Wenxian Ma, Sibei Yang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 2. The initial-boundary value problem on a finite domain
David J. Needham, John Billingham
European Journal of Applied Mathematics, First View

Article
STABILITY RESULTS FOR NONLOCAL SERRIN-TYPE PROBLEMS, ANTISYMMETRIC HARNACK INEQUALITIES AND GEOMETRIC ESTIMATES
JACK THOMPSON
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
Correspondence between Pestov and Weitzenböck identities
MIHAJLO CEKIĆ, THIBAULT LEFEUVRE, ANDREI MOROIANU, UWE SEMMELMANN
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 178, Issue 3

Article
Optimal transport on gas networks
Ariane Fazeny, Martin Burger, Jan-F. Pietschmann
European Journal of Applied Mathematics, First View

Article
Determination of period matrix of double of surface with boundary via its DN map
Dmitrii Korikov
Canadian Journal of Mathematics, First View

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Pseudodifferential operators and other generalizations of partial differential operators (35Sxx)

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MSC 2010: Partial differential equations

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Partial differential equations (35-XX)

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General topics (35Axx)

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Qualitative properties of solutions (35Bxx)

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Representations of solutions (35Cxx)

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Generalized solutions (35Dxx)

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Equations and systems with constant coefficients (35Exx)

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General first-order equations and systems (35Fxx)

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General higher-order equations and systems (35Gxx)

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Close-to-elliptic equations and systems (35Hxx)

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Elliptic equations and systems (35Jxx)

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Parabolic equations and systems (35Kxx)

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Hyperbolic equations and systems (35Lxx)

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Equations and systems of special type (mixed, composite, etc.) (35Mxx)

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Overdetermined systems (35Nxx)

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Spectral theory and eigenvalue problems (35Pxx)

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Equations of mathematical physics and other areas of application (35Qxx)

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Miscellaneous topics (35Rxx)

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Pseudodifferential operators and other generalizations of partial differential operators (35Sxx)

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