Title of article
Life span of positive solutions for a semilinear heat equation with general non-decaying initial data
Author/Authors
Ozawa، نويسنده , , Tohru and Yamauchi، نويسنده , , Yusuke، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
6
From page
518
To page
523
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
Cauchy problem , blow up , Life span , Semilinear heat equation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561817
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