Renormalized solutions for a nonlinear parabolic equation with variable exponents and \(L^{1}\)-data

DOI10.1016/j.jde.2010.05.011zbMath1231.35106OpenAlexW1971062478MaRDI QIDQ994302

Mostafa Bendahmane, Petra Wittbold, Aleksandra Zimmermann

Publication date: 17 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.05.011

zbMATH Keywords

Sobolev spacesnonlinear parabolic equationexistenceuniquenesswell-posednessLebesgue spacesrenormalized solutionvariable-exponent spaces

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Quasilinear parabolic equations with (p)-Laplacian (35K92)

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