| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 844317 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 8 Pages |
Abstract
In this paper, we study the nonnegative solutions of semilinear heat equation ut=Δu+eu in Ω×(0,T)Ω×(0,T), where ΩΩ is a bounded domain in R2R2, and show that they are bounded whenever T=+∞T=+∞ and the energy functional along a solution tends to −∞−∞ as t→T−t→T− whenever the maximal existence time TT is finite.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Guocai Cai,