Academic Journals Database
Disseminating quality controlled scientific knowledge

Existence of Weak Solutions for a Class of Quasilinear Parabolic Problems in Weighted Sobolev Space

ADD TO MY LIST
 
Author(s): Meilan Qiu | Liquan Mei

Journal: Advances in Pure Mathematics
ISSN 2160-0368

Volume: 03;
Issue: 01;
Start page: 204;
Date: 2013;
Original page

Keywords: Weighted Sobolev Space | Energy Estimates | Compact Imbedding | Sobolev Interpolation Inequalities

ABSTRACT
In this paper, we investigate the existence and uniqueness of weak solutions for a new class of initial/boundary-value parabolic problems with nonlinear perturbation term in weighted Sobolev space. By building up the compact imbedding in weighted Sobolev space and extending Galerkin’s method to a new class of nonlinear problems, we drive out that there exists at least one weak solution of the nonlinear equations in the interval [0,T] for the fixed time T>0.
Save time & money - Smart Internet Solutions      Why do you need a reservation system?