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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

Kaouther Ammar and Petra Wittbold
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, Vol.133(3), pp.477-496
06/2003
DOI: https://doi.org/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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