Strong solutions of evolution equations with \(p(x,t)\)-Laplacian: existence, global higher integrability of the gradients and second-order regularity

DOI10.1016/j.jmaa.2020.124506zbMath1450.35153OpenAlexW3076384982MaRDI QIDQ2208271

Sergey Shmarev, Rakesh Arora

Publication date: 23 October 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124506

zbMATH Keywords

variable nonlinearityhigher regularitysingular and degenerate parabolic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92) Strong solutions to PDEs (35D35)

Related Items (8)

Double phase obstacle problems with variable exponent ⋮ Stability for evolution equations with variable growth ⋮ Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on \(( x , t )\) and negative initial energy ⋮ Existence and regularity results for a class of parabolic problems with double phase flux of variable growth ⋮ Existence and global second-order regularity for anisotropic parabolic equations with variable growth ⋮ Global existence and regularity for a pseudo-parabolic equation with \(p(x,t)\)-Laplacian ⋮ Parabolic equations in Musielak-Orlicz spaces with discontinuous in time \(N\)-function ⋮ Double-phase parabolic equations with variable growth and nonlinear sources

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