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A note on uniqueness for parabolic problems with discontinuous nonlinearities

✍ Scribed by Eduard Feireisl


Book ID
107967453
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
269 KB
Volume
16
Category
Article
ISSN
0362-546X

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In this paper we consider a nonlinear parabolic problem with a discontinuous, nonmonotone nonlinearity. We assume the existence of an upper solution and a lower solution such that F . Using results from the theory of pseudomonotone operators and from the theory of multivalued analysis together with