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Existence of renormalized solutions of degenerate elliptic-parabolic problems

Published online by Cambridge University Press:  12 July 2007

Kaouther Ammar  and
Petra Wittbold
Kaouther Ammar
Affiliation:
UFR de Mathématiques et d'Informatique, Université Louis Pasteur, 7, rue René Descartes, 67084 Strasbourg, France
Petra Wittbold
Affiliation:
UFR de Mathématiques et d'Informatique, Université Louis Pasteur, 7, rue René Descartes, 67084 Strasbourg, France
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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.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 3 , June 2003 , pp. 477 - 496
Copyright
Copyright © Royal Society of Edinburgh 2003

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