Life span of positive solutions for a semilinear heat equation with general non-decaying initial data |
| |
| Authors: | Tohru Ozawa |
| |
| Affiliation: | Department of Applied Physics, Waseda University, Tokyo 169-8555, Japan |
| |
| Abstract: | We prove upper bounds on the life span of positive solutions for a semilinear heat equation. For non-decaying initial data, it is well known that the solutions blow up in finite time. We give two types estimates of the life span in terms of the limiting values of the initial data in space. |
| |
| Keywords: | Life span Semilinear heat equation Cauchy problem Blow up |
| 本文献已被 ScienceDirect 等数据库收录！ |
