Existence of renormalized solutions of degenerate elliptic-parabolic problems

Kaouther Ammar; Petra Wittbold

doi:10.1017/S0308210500002493

Abstract

We consider a general class of degenerate elliptic-parabolic problems associated with the equation b(υ)t = div a(υ, Dυ) + f. Existence of renormalized solutions is established for general L1 data. Uniqueness of renormalized solutions has already been shown in a previous work.

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Existence of renormalized solutions of degenerate elliptic-parabolic problems

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Existence of renormalized solutions of degenerate elliptic-parabolic problems

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