Existence result for degenerated parabolic problems in unbounded domains
Abstract
In this paper, we study the existence of solutions for strongly nonlinear degenerated parabolic problem ∂u/∂t−diva(x,t,u,∇u)+g(x,t,u,∇u) = f, in unbounded domains O, where A is a classical divergence operator of Leray-Lions acting from Lp(0,T,W1,p 0(O,w)) to its dual, while g(x,t,s,ξ) is a nonlinear term which has a growth condition with respect to ξ and no growth with respect to s, but it satisfies a sign condition on s and f ∈ Lp0(0,T,W−1,p0(O,w∗)).
Copyright © 2014 Chiraz Kouraichi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
C. Kouraichi, Existence result for degenerated parabolic problems in unbounded domains, J. Math. Comput. Sci. 4 (2014), 487–493.
BibTeX
@article{Kouraichi2014,
author = {Kouraichi, Chiraz},
title = {Existence result for degenerated parabolic problems in unbounded domains},
journal = {J. Math. Comput. Sci.},
volume = {4},
year = {2014},
pages = {487--493},
doi = {}
}