Uniqueness of renormalized solutions to nonlinear parabolic problems with lower-order terms

DOI10.1017/S0308210511001831zbMath1292.35004arXiv1111.5824MaRDI QIDQ5403791

Filomena Feo, Rosario di Nardo, Olivier Guibé

Publication date: 19 March 2014

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5824

zbMATH Keywords

Dirichlet boundary conditionsgrowth conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)

Related Items (8)

A note on uniqueness for $L^1$-data elliptic problems with {O}rlicz growth ⋮ Existence and uniqueness of a solution for a class of parabolic equations with two unbounded nonlinearities ⋮ Unnamed Item ⋮ A remark on uniqueness of weak solutions for some classes of parabolic problems ⋮ Existence of solutions for some doubly degenerate parabolic equations with natural growth terms ⋮ Existence and uniqueness of renormalized solutions to nonlinear parabolic equations with lower order term and diffuse measure data ⋮ Uniqueness for quasilinear elliptic problems in a two-component domain with \(L^1\) data ⋮ Comparison results for unbounded solutions for a parabolic Cauchy-Dirichlet problem with superlinear gradient growth

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