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Attractors for Semi-groups and Evolution Equations
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  • Cited by 163
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Fiedler, Bernold and Rocha, Carlos 2018. Sturm 3-Ball Global Attractors 2: Design of Thom–Smale Complexes. Journal of Dynamics and Differential Equations,

    Feng, B. Ma, T. F. Monteiro, R. N. and Raposo, C. A. 2018. Dynamics of Laminated Timoshenko Beams. Journal of Dynamics and Differential Equations, Vol. 30, Issue. 4, p. 1489.

    Shomberg, Joseph L. 2018. Exponential Decay Results for Semilinear Parabolic PDE with $$C^0$$ C 0 Potentials: A “Mean Value” Approach. Differential Equations and Dynamical Systems, Vol. 26, Issue. 4, p. 355.

    Esteban, Francisco J. Galadí, Javier A. Langa, José A. Portillo, José R. Soler-Toscano, Fernando and Jirsa, Viktor K 2018. Informational structures: A dynamical system approach for integrated information. PLOS Computational Biology, Vol. 14, Issue. 9, p. e1006154.

    Bilgin, Bilgesu and Kalantarov, Varga 2018. Determining functionals for damped nonlinear wave equations. Complex Variables and Elliptic Equations, Vol. 63, Issue. 7-8, p. 931.

    Zgurovsky, Michael Z. and Kasyanov, Pavlo O. 2018. Qualitative and Quantitative Analysis of Nonlinear Systems. Vol. 111, Issue. , p. 47.

    AKAGI, GORO and EFENDIEV, MESSOUD 2018. Allen–Cahn equation with strong irreversibility. European Journal of Applied Mathematics, p. 1.

    Zgurovsky, Michael Z. and Kasyanov, Pavlo O. 2018. Qualitative and Quantitative Analysis of Nonlinear Systems. Vol. 111, Issue. , p. 161.

    Bezerra, Flank D.M. Simsen, Jacson and Simsen, Mariza S. 2018. Semilinear limit problems for reaction–diffusion equations with variable exponents. Journal of Differential Equations,

    Wang, Huaqiao 2018. The exponential behavior and stabilizability of the stochastic magnetohydrodynamic equations. Zeitschrift für angewandte Mathematik und Physik, Vol. 69, Issue. 3,

    Zgurovsky, Michael Z. and Kasyanov, Pavlo O. 2018. Qualitative and Quantitative Analysis of Nonlinear Systems. Vol. 111, Issue. , p. 125.

    Pierre, Morgan 2018. Convergence of exponential attractors for a time semi-discrete reaction-diffusion equation. Numerische Mathematik, Vol. 139, Issue. 1, p. 121.

    Farwig, Reinhard and Qian, Chenyin 2018. Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in R2. Journal of Differential Equations,

    Fiedler, Bernold and Rocha, Carlos 2018. Sturm 3-ball global attractors 1: Thom–Smale complexes and meanders. São Paulo Journal of Mathematical Sciences, Vol. 12, Issue. 1, p. 18.

    Zhang, Fang-hong and Bai, Li-hong 2018. Pullback attractors in the weighted space for multi-valued process generated by the non-autonomous nonclassical diffusion equations with unbounded delays without uniqueness of solutions. Applicable Analysis, p. 1.

    Zgurovsky, Michael Z. and Kasyanov, Pavlo O. 2018. Qualitative and Quantitative Analysis of Nonlinear Systems. Vol. 111, Issue. , p. 89.

    Aragão-Costa, E. R. Figueroa-López, R. N. Langa, J. A. and Lozada-Cruz, G. 2018. Topological Structural Stability of Partial Differential Equations on Projected Spaces. Journal of Dynamics and Differential Equations, Vol. 30, Issue. 2, p. 687.

    Freitas, Mirelson M. Kalita, Piotr and Langa, José A. 2018. Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations. Journal of Differential Equations, Vol. 264, Issue. 3, p. 1886.

    Zgurovsky, Michael Z. and Kasyanov, Pavlo O. 2018. Qualitative and Quantitative Analysis of Nonlinear Systems. Vol. 111, Issue. , p. 111.

    Aouadi, Moncef 2018. Long-time dynamics for nonlinear porous thermoelasticity with second sound and delay. Journal of Mathematical Physics, Vol. 59, Issue. 10, p. 101510.

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Book description

This book presents an expansion of the highly successful lectures given by Professor Ladyzhenskaya at the University of Rome, 'La Sapienza', under the auspices of the Accademia dei Lencei. The lectures were devoted to questions of the behaviour of trajectories for semi-groups of non-linear bounded continuous operators in a locally non-compact metric space and for solutions of abstract evolution equations. The latter contain many boundaries value problems for partial differential equations of a dissipative type. Professor Ladyzhenskaya was an internationally renowned mathematician and her lectures attracted large audiences. These notes reflect the high calibre of her lectures and should prove essential reading for anyone interested in partial differential equations and dynamical systems.

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