Existence results of renormalized solutions for nonlinear \(p(\cdot)\)-parabolic equations with possibly singular measure data
DOI10.1007/s43036-021-00139-0zbMath1492.35157OpenAlexW3171541067MaRDI QIDQ2043889
Bouchra El Hamdaoui, Khadija Moutaouakil, Hicham Redwane, Jaouad Bennouna
Publication date: 3 August 2021
Published in: Advances in Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43036-021-00139-0
renormalized solutionsingular equationsSobolev spaces with variable exponent\(p(\cdot)\)-parabolic capacitygeneral measure data
Initial-boundary value problems for second-order parabolic equations (35K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92) PDEs with measure (35R06)
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