Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4976234 | Journal of the Franklin Institute | 2010 | 14 Pages |
Abstract
In this paper, the spatial behavior of solutions of a class of nonlinear parabolic equations is studied. We obtain some alternative results for the solutions under suitable conditions on the nonlinear terms. The main tool used is the weighted energy method. Our results can be viewed as a version of Saint-Venant's principle to the parabolic equations.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Yan Liu, Yi Du, Zhengan Yao,