Existence of solutions for a class of porous medium type equations with data

Autor:	Wei Wang, Weilin Zou
Rok vydání:	2014
Předmět:	Class (set theory) Applied Mathematics Operator (physics) Mathematical analysis Degenerate energy levels Principal part Lower order Type (model theory) Porous medium Parabolic partial differential equation Analysis Mathematical physics Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 98:165-189
ISSN:	0362-546X
DOI:	10.1016/j.na.2013.12.012
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
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::846252e7b8ffa0861ed1205292dfc642 https://doi.org/10.1016/j.na.2013.12.012 Zobrazit plný text záznamu Full Text from ScienceDirect