On the Solvability of a Quasilinear Parabolic Problem with Neumann Boundary Condition

Autor:	Editha C. Jose, Marian P. Roque
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	Parabolic quasilinear Neumann boundary condition weak solution Science Science (General) Q1-390
Zdroj:	Science Diliman, Vol 28, Iss 2, Pp 65-82 (2016)
Druh dokumentu:	article
ISSN:	0115-7809 2012-0818
Popis:	This paper establishes the existence and uniquenesss of a weak solution of a quasilinear parabolic problem in an open set whose boundary is the union of two disjoint closed surfaces. A Dirichlet condition is prescribed on the exterior boundary and a Neumann condition on the interior boundary. The existence of a solution of the parabolic problem is shown using the Faedo-Galerkin method and some a priori estimates are established to provide bounds for the solution.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4df72a51abd64da5b6c3494e6bd54b1b Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF