Existence and long-time behavior of variational solutions to a class of nonclassical diffusion equations in noncylindrical domains

DOI10.1007/s40306-015-0120-5zbMath1334.35110OpenAlexW2062059567MaRDI QIDQ255668

Nguyen Duong Toan

Publication date: 9 March 2016

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-015-0120-5

zbMATH Keywords

penalty methodpullback attractorvariational solutionnonclassical diffusion equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (4)

Uniform attractors of nonclassical diffusion equations lacking instantaneous damping on \(\mathbb{R}^N\) with memory ⋮ The nonclassical diffusion equations with time-dependent memory kernels and a new class of nonlinearities ⋮ Existence and long-time behavior of solutions to a class of nonclassical diffusion equations with infinite delays ⋮ Strong pullback attractors for a nonclassical diffusion equation

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