Existence of solutions to parabolic equation with \(L^1\) data in Musielak spaces

DOI10.1007/s41808-021-00139-4zbMath1490.35205OpenAlexW3217162430MaRDI QIDQ2141760

Youssef El Hadfi, Sidi Mohamed Douiri, Mustafa Ait Khellou

Publication date: 25 May 2022

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-021-00139-4

zbMATH Keywords

Poincaré-type inequalityparabolic equationslog-Hölder continuityMusielak spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Initial-boundary value problems for second-order parabolic equations (35K20) Quasilinear parabolic equations (35K59) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (1)

Existence of solutions for a class of nonlinear elliptic problems with measure data in the setting of Musielak-Orlicz-Sobolev spaces

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