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Zbl 1215.35091
Ozawa, Tohru; Yamauchi, Yusuke
Life span of positive solutions for a semilinear heat equation with general non-decaying initial data. (English)
[J] J. Math. Anal. Appl. 379, No. 2, 518-523 (2011). ISSN 0022-247X

Summary: 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 of estimates of the life span in terms of the limiting values of the initial data in space.
MSC 2000:
*35K58
35B44
35K15 Second order parabolic equations, initial value problems

Keywords: life span; semilinear heat equation; Cauchy problem; blow up; upper bounds; non-decaying initial data

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