Article ID Journal Published Year Pages File Type
4621554 Journal of Mathematical Analysis and Applications 2008 9 Pages PDF
Abstract

We give sufficient conditions which guarantee that solutions of a superlinear heat equation decay to zero at the same rate as the solutions of the linear heat equation with the same initial data. This improves a previous result of Lee and Ni by showing that this behaviour holds for a significantly larger, and rather tightly defined class of solutions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis