An \(L^1\)-theory for a nonlinear temporal periodic problem involving \(p(x)\)-growth structure with a strong dependence on gradients

DOI10.1007/S00028-023-00924-9zbMath1527.35024OpenAlexW4388419692MaRDI QIDQ6084912

Nour Eddine Alaa, Abderrahim Charkaoui

Publication date: 2 December 2023

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-023-00924-9

zbMATH Keywords

parabolic equationsvariable exponent\(p(x)\)-Laplace operatorvariable exponent Lebesgue and Sobolev spaces\(L^1\) data\(p(x)\)-growth conditionsrenormalized periodic solutions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear parabolic equations with (p)-Laplacian (35K92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Weak solvability and well-posedness of some fractional parabolic problems with vanishing initial datum

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