On solvability of a non-linear heat equation with a non-integrable convective term and data involving measures

DOI10.1016/j.nonrwa.2010.07.001zbMath1202.35113OpenAlexW1987411905MaRDI QIDQ611280

Miroslav Bulíček, Josef Málek, Luisa Consiglieri

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.07.001

zbMATH Keywords

weak solutionconvection-diffusion equationentropy solutionmixed boundary value problemalmost everywhere convergence of gradientsminimal assumptions on datanon-homogeneous Neumann condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Quasilinear parabolic equations (35K59)

Related Items (6)

A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ Analysis of Generalized Newtonian Fluids ⋮ Renormalized solutions to nonlinear parabolic problems in generalized Musielak-Orlicz spaces ⋮ Existence of Weak Solutions for Unsteady Motions of Micropolar Electrorheological Fluids ⋮ Well-posedness of parabolic equations in the non-reflexive and anisotropic Musielak-Orlicz spaces in the class of renormalized solutions ⋮ Systems Describing Electrothermal Effects with $p(x)$-Laplacian-like Structure for Discontinuous Variable Exponents

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