Existence of solutions for some doubly degenerate parabolic equations with natural growth terms

Autor:	Wei Wang, Weilin Zou
Rok vydání:	2015
Předmět:	Discrete mathematics Applied Mathematics Bounded function Degenerate energy levels Type (model theory) Parabolic partial differential equation Analysis Mathematics Mathematical physics
Zdroj:	Nonlinear Analysis. 125:150-166
ISSN:	0362-546X
DOI:	10.1016/j.na.2015.05.007
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
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::297339eef1d6b9ece4b123472c31e5d5 https://doi.org/10.1016/j.na.2015.05.007 Zobrazit plný text záznamu Full Text from ScienceDirect