Existence of solutions for some doubly degenerate parabolic equations with natural growth terms
Autor: | Wei Wang, Weilin Zou |
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Rok vydání: | 2015 |
Předmět: | |
Zdroj: | Nonlinear Analysis. 125:150-166 |
ISSN: | 0362-546X |
Popis: | This paper deals with a class of doubly degenerate parabolic equations of the type ∂ b ( u ) ∂ t − div ( a ( x , t , u , ∇ u ) ) + F ( x , t , u , ∇ u ) = f , where b is a strictly increasing C 1 -function. Under some suitable hypothesis, we prove that there exists at least a bounded solution to this problem in standard weak sense. |
Databáze: | OpenAIRE |
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