Existence of solutions for a class of porous medium type equations with data
Autor: | Wei Wang, Weilin Zou |
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Rok vydání: | 2014 |
Předmět: | |
Zdroj: | Nonlinear Analysis: Theory, Methods & Applications. 98:165-189 |
ISSN: | 0362-546X |
Popis: | In this paper, we study a class of degenerate parabolic equations of porous medium-type with a lower order term and L 1 data, i.e. ∂ u ∂ t − div ( a ( x , t , u , ∇ u ) ) + F ( x , t , u , ∇ u ) = f , where the principal part of the operator is degenerate in u = 0 . Under some hypothesis on a and F , we prove that the problem admits at least a renormalized solution. |
Databáze: | OpenAIRE |
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