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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
On the dynamics of a diffusive SEIRS epidemic model
Keoni G. Castellano, Rachidi B. Salako, Shuwen Xue
European Journal of Applied Mathematics, First View

Article
DEAD-CORE PROBLEM FOR A CLASS OF INFINITY LAPLACIAN
FANG LIU, RUIQIAN WU
Journal of the Australian Mathematical Society, First View

Article
Normalized solutions for a Hamiltonian elliptic system on $\mathbb{R}^N$
Braulio B. V. Maia, Olímpio H. Miyagaki
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Global bifurcations and pattern formation in target–offender–guardian crime models
Madi Yerlanov, Qi Wang, Nancy Rodríguez
European Journal of Applied Mathematics, First View

Article
Note on a hyperbolic equation having p-Laplacian and Kirchhoff damping
Liao Zhang, Fengjie Li
Canadian Journal of Mathematics, First View

Article
Stabilization of arbitrary structures in a three-dimensional doubly degenerate nutrient taxis system
Xiang-Mao De-Ji, Ai Huang, Yifu Wang
European Journal of Applied Mathematics, First View

Article
An obstacle approach to rate-independent droplet evolution
William M. Feldman, Inwon C. Kim, Norbert Požár
Forum of Mathematics, Sigma, Volume 14

Article
Long-time behaviour of small solutions in the viscoelastic Klein–Gordon equation
Louis Garénaux, Björn de Rijk
Journal of Nonlinear Waves, Volume 2

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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
DEAD-CORE PROBLEM FOR A CLASS OF INFINITY LAPLACIAN
FANG LIU, RUIQIAN WU
Journal of the Australian Mathematical Society, First View

Article
Note on a hyperbolic equation having p-Laplacian and Kirchhoff damping
Liao Zhang, Fengjie Li
Canadian Journal of Mathematics, First View

Article
RENORMALIZED AND ENTROPY SOLUTIONS TO THE GENERAL NONLINEAR PARABOLIC EQUATIONS IN MUSIELAK–ORLICZ SPACES
YING LI, CHAO ZHANG
Journal of the Australian Mathematical Society, First View

Article
MULTIPLE SOLUTIONS FOR QUASILINEAR SCHRÖDINGER EQUATIONS WITH NONLINEARITY SUBLINEAR AT ZERO
JIE SHEN, SHUAI JIANG
Bulletin of the Australian Mathematical Society, First View

Article
Propagation dynamics of time-dependent reaction-diffusion equations under climate change in an infinite cylinder
Xiongxiong Bao, Dun Zhou
European Journal of Applied 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
Impact of birth pulse and environment shift on population survival and propagation
Yaobin Tang, Binxiang Dai, Jianhong Wu
Canadian Journal of 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

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Generalized solutions (35Dxx)

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Equations and systems with constant coefficients (35Exx)

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Article
Global solutions to 3D quadratic nonlinear Schrödinger-type equation
Zihua Guo, Naijia Liu, Liang Song
Forum of Mathematics, Sigma, Volume 13

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
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

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

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General first-order equations and systems (35Fxx)

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Article
The boundary value problem for triholomorphic maps
He Zhang, Miaomiao Zhu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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, Volume 68, Issue 4

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

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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
DEAD-CORE PROBLEM FOR A CLASS OF INFINITY LAPLACIAN
FANG LIU, RUIQIAN WU
Journal of the Australian Mathematical Society, First View

Article
Trace and observability inequalities for Laplace eigenfunctions on the torus
Nicolas Burq, Pierre Germain, Massimo Sorella, Hui Zhu
Forum of Mathematics, Sigma, Volume 14

Article
Normalized solutions for a Hamiltonian elliptic system on $\mathbb{R}^N$
Braulio B. V. Maia, Olímpio H. Miyagaki
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
An obstacle approach to rate-independent droplet evolution
William M. Feldman, Inwon C. Kim, Norbert Požár
Forum of Mathematics, Sigma, Volume 14

Article
MULTIPLE SOLUTIONS FOR QUASILINEAR SCHRÖDINGER EQUATIONS WITH NONLINEARITY SUBLINEAR AT ZERO
JIE SHEN, SHUAI JIANG
Bulletin of the Australian Mathematical Society, First View

Article
Superlinear problems involving nonlinear superposition operators of mixed fractional order
Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Multiplicative Jensen’s formula and quantitative global theory of one-frequency Schrödinger operators
Lingrui Ge, Svetlana Jitomirskaya, Jiangong You, Qi Zhou
Forum of Mathematics, Pi, Volume 14

Article
Existence and concentration of normalized solutions for logarithmic Schrödinger–Bopp–Podolsky type system
Sihua Liang, Gaetano Siciliano, Xueqi Sun
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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Parabolic equations and systems (35Kxx)

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Article
On the dynamics of a diffusive SEIRS epidemic model
Keoni G. Castellano, Rachidi B. Salako, Shuwen Xue
European Journal of Applied Mathematics, First View

Article
Stabilization of arbitrary structures in a three-dimensional doubly degenerate nutrient taxis system
Xiang-Mao De-Ji, Ai Huang, Yifu Wang
European Journal of Applied Mathematics, First View

Article
Threshold dynamics of a time-periodic SIS model with anomalous diffusion in heterogeneous environments
Peng Shi, Wan-Tong Li, Fei-Ying Yang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Proliferation-dominated large time behaviour in a planar doubly degenerate nutrient taxis system
Genglin Li, Michael Winkler
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Periodic dynamics in a time-switching advection-diffusion model for competing Aedes mosquitoes
Yijie Li, Yunfeng Liu, Yuming Chen, Jianshe Yu
European Journal of Applied Mathematics, First View

Article
RENORMALIZED AND ENTROPY SOLUTIONS TO THE GENERAL NONLINEAR PARABOLIC EQUATIONS IN MUSIELAK–ORLICZ SPACES
YING LI, CHAO ZHANG
Journal of the Australian Mathematical Society, First View

Article
Competition of small targets in planar domains: from Dirichlet to Robin and Steklov boundary condition
Denis S. Grebenkov, Michael Jeffrey Ward
European Journal of Applied Mathematics, First View

Article
Rigidity for the heat equation with density on Riemannian manifolds through a conformal change
Alexander Grigor’yan, Giulia Meglioli, Alberto Roncoroni
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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Hyperbolic equations and systems (35Lxx)

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Article
Note on a hyperbolic equation having p-Laplacian and Kirchhoff damping
Liao Zhang, Fengjie Li
Canadian Journal of Mathematics, First View

Article
Long-time behaviour of small solutions in the viscoelastic Klein–Gordon equation
Louis Garénaux, Björn de Rijk
Journal of Nonlinear Waves, Volume 2

Article
Linear damping estimates for periodic roll wave solutions of the inviscid Saint-Venant equations and related systems of hyperbolic balance laws
Luis Miguel Rodrigues, Kevin Zumbrun
Journal of Nonlinear Waves, Volume 1

Article
AN ANALYSIS OF RIEMANN SOLUTIONS FOR THE NONHOMOGENEOUS AW–RASCLE MODEL OF TRAFFIC FLOW WITH THE BORN–INFELD EQUATION OF STATE
SHIWEI LI
The ANZIAM Journal, Volume 67

Article
Global smooth solutions and singularity formation for the relativistic Euler equations with radial symmetry
Geng Chen, Houbin Guo, Yanbo Hu
Canadian Journal of Mathematics, First View

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

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

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Article
Superlinear problems involving nonlinear superposition operators of mixed fractional order
Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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, Volume 68, Issue 4

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

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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
A note on the Maxwell’s eigenvalues on thin sets
Francesco Ferraresso, Luigi Provenzano
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On the time-dependent Born–Oppenheimer approximation
Sebastian Gherghe, Ivan Moyano, Israel Michael Sigal
European Journal of Applied Mathematics, First View

Article
On the asymptotic number of low-lying states in the two-dimensional confined Stark effect
Larry Read
Forum of Mathematics, Sigma, Volume 14

Article
Linear damping estimates for periodic roll wave solutions of the inviscid Saint-Venant equations and related systems of hyperbolic balance laws
Luis Miguel Rodrigues, Kevin Zumbrun
Journal of Nonlinear Waves, Volume 1

Article
Sharp bounds for higher Steklov–Dirichlet eigenvalues on domains with spherical holes
Sagar Basak, Anisa Chorwadwala, Sheela Verma
Canadian Mathematical Bulletin, First View

Article
Constructing surfaces with first Steklov eigenvalue of arbitrarily large multiplicity
Samuel Audet-Beaumont
Canadian Mathematical Bulletin, First View

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

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

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Article
On the dynamics of a diffusive SEIRS epidemic model
Keoni G. Castellano, Rachidi B. Salako, Shuwen Xue
European Journal of Applied Mathematics, First View

Article
Genus two KdV soliton gases and their long-time asymptotics
Deng-Shan Wang, Dinghao Zhu, Xiaodong Zhu
Forum of Mathematics, Sigma, Volume 14

Article
A note on the Maxwell’s eigenvalues on thin sets
Francesco Ferraresso, Luigi Provenzano
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On the time-dependent Born–Oppenheimer approximation
Sebastian Gherghe, Ivan Moyano, Israel Michael Sigal
European Journal of Applied Mathematics, First View

Article
Sharp local well-posedness for KP-I equations in the semilinear regime
Shinya Kinoshita, Akansha Sanwal, Robert Schippa
Forum of Mathematics, Sigma, Volume 14

Article
MODELLING DYNAMIC STRAINS ON ICE SHELVES RESULTING FROM FLEXURAL AND EXTENSIONAL MOTIONS FORCED BY OCEAN WAVE PACKETS
LUKE G. BENNETTS, JIE LIANG
The ANZIAM Journal, Volume 68

Article
Derivation of the Vlasov–Maxwell system from the Maxwell–Schrödinger equations with extended charges
Nikolai Leopold, Chiara Saffirio
Forum of Mathematics, Sigma, Volume 14

Article
A plethora of fully localized solitary waves for the full-dispersion Kadomtsev–Petviashvili equation
Mats Ehrnström, Mark D. Groves
Journal of Nonlinear Waves, Volume 2

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Miscellaneous topics (35Rxx)

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Article
DEAD-CORE PROBLEM FOR A CLASS OF INFINITY LAPLACIAN
FANG LIU, RUIQIAN WU
Journal of the Australian Mathematical Society, First View

Article
An obstacle approach to rate-independent droplet evolution
William M. Feldman, Inwon C. Kim, Norbert Požár
Forum of Mathematics, Sigma, Volume 14

Article
Infinite dimensional metapopulation SIS model with generalized incidence rate
Jean-François Delmas, Kacem Lefki, Pierre-André Zitt
Canadian Journal of Mathematics, First View

Article
Superlinear problems involving nonlinear superposition operators of mixed fractional order
Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Multipeak solutions for fractional elliptic equations on conformal infinities
Yuan Gao, Yuxia Guo, Ning Zhou
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Normalized solutions of L2-supercritical NLS equations on non-compact metric graphs
Simone Dovetta, Louis Jeanjean, Enrico Serra
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Monotonicity of positive solutions to equations involving fractional p-Laplacian in coercive epigraph
Wei Dai, Jingze Fu
Proceedings of the Edinburgh Mathematical Society, Volume 69, Issue 2

Article
On the Γ-limit of weighted fractional energies
Andrea Kubin, Giorgio Saracco, Giorgio Stefani
Proceedings of the Royal Society of Edinburgh. Section A: 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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