Existence of solution for a class of heat equation involving the \(p(x)\) Laplacian with triple regime

DOI10.1007/s00033-020-01430-5zbMath1456.35117arXiv2110.00963OpenAlexW3204561009MaRDI QIDQ2219312

Tahir Boudjeriou, Claudianor Oliveira Alves

Publication date: 19 January 2021

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

Full work available at URL: https://arxiv.org/abs/2110.00963

zbMATH Keywords

quasilinear parabolic equationsGalerkin methods\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear parabolic equations (35K59)

Related Items (7)

Global existence and decay estimates of energy of solutions for a new class of \(p\)-Laplacian heat equations with logarithmic nonlinearity ⋮ Global well‐posedness and finite time blow‐up for a class of wave equation involving fractional p‐Laplacian with logarithmic nonlinearity ⋮ Blow-up for the Timoshenko-type equation with variable exponents ⋮ Existence and multiplicity of solutions involving the \(p(x)\)-Laplacian equations: on the effect of two nonlocal terms ⋮ Global well-posedness of solutions to a class of double phase parabolic equation with variable exponents ⋮ Global existence, blow-up and asymptotic behavior of solutions for a class of \(p(x)\)-Choquard diffusion equations in \(\mathbb{R}^N\) ⋮ Existence of solution for a class of heat equation with double criticality

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