Existence of Solutions for the Evolution p(x)-Laplacian Equation Not in Divergence Form
Joint Authors
Liu, Changchun
Gao, Junchao
Lian, Songzhe
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-16
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The existence of weak solutions is studied to the initial Dirichlet problemof the equation ut=udiv(|∇u|p(x)−2∇u), with inf p(x)>2.
We adopt the method of parabolic regularization.
After establishing some necessary uniform estimates on the approximate solutions, we prove the existence of weak solutions.
American Psychological Association (APA)
Liu, Changchun& Gao, Junchao& Lian, Songzhe. 2012. Existence of Solutions for the Evolution p(x)-Laplacian Equation Not in Divergence Form. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029020
Modern Language Association (MLA)
Liu, Changchun…[et al.]. Existence of Solutions for the Evolution p(x)-Laplacian Equation Not in Divergence Form. Journal of Applied Mathematics No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1029020
American Medical Association (AMA)
Liu, Changchun& Gao, Junchao& Lian, Songzhe. Existence of Solutions for the Evolution p(x)-Laplacian Equation Not in Divergence Form. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029020
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029020
