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

Autor: Wei Wang, Weilin Zou
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