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

Rosaria Di Nardo; Filomena Feo; Olivier Guibé

doi:10.1017/S0308210511001831

Abstract

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We consider a general class of parabolic equations of the type

with Dirichlet boundary conditions and with a right-hand side belonging to L1 + Lp′ (W−1, p′). Using the framework of renormalized solutions we prove uniqueness results under appropriate growth conditions and Lipschitz-type conditions on a(u, ∇u), K(u) and H(∇u).

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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

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