Solutions of evolutionary equation based on the anisotropic variable exponent Sobolev space

DOI10.1007/s00033-019-1150-yzbMath1419.35102OpenAlexW2953997598MaRDI QIDQ2001920

Hua-Shui Zhan, Zhao-sheng Feng

Publication date: 11 July 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-019-1150-y

zbMATH Keywords

stabilityweak solutionanisotropic variable exponent spaceweak characteristic function

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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The nonnegative weak solution of a degenerate parabolic equation with variable exponent growth order, Definite Condition of the Evolutionary $\vec{p}(x)$−Laplacian Equation, Upper semicontinuity of pullback D$\mathcal {D}$‐attractors for nonlinear parabolic equation with nonstandard growth condition, On the boundary value condition of an isotropic parabolic equation, Existence and stability of the doubly nonlinear anisotropic parabolic equation

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