Existence and uniqueness of renormalized solutions to nonlinear parabolic equations with lower order term and diffuse measure data

DOI10.1007/s00009-018-1223-8zbMath1401.35161OpenAlexW2884419738WikidataQ129559894 ScholiaQ129559894MaRDI QIDQ1790564

A. Marah, A. Bouajaja, Hicham Redwane

Publication date: 2 October 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1223-8

zbMATH Keywords

existenceuniquenessnonlinear parabolic equationsrenormalized solutionsdiffuse measure

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Existence results for a class of nonlinear parabolic equations of generalized porous medium type with measure data ⋮ Existence and uniqueness of renormalized solutions to parabolic problems for equations with diffuse measure ⋮ Existence and uniqueness of a renormalized solution for nonlinear degenerate parabolic equations with diffuse measure data ⋮ Renormalized solutions to nonlinear parabolic problems with blowing up coefficients and general measure data ⋮ Existence of a renormalized solution to an anisotropic parabolic problem for an equation with diffuse measure ⋮ Unnamed Item

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