Document Type

Article

Publication Date

2017

Keywords

Cauchy problem, Comparison principle

Abstract

In this paper we get estimates of life span of a Cauchy problem ut(x, t) = ∆ u(x, t) +u(x, t)p, x∈Rn, t >0,u(x,0) =λφ(x), x∈Rn in terms of the positive constant parameterλ whenφ(x)∈Lq is a nonnegative bounded continuous function in Rn but not identically zero, where q is large enough. The technique we used in this paper is the Comparison Principle.

Journal Title

International Journal of Pure and Applied Mathematics

Volume

116

Issue

3

First Page

637

Last Page

641

DOI

https://doi.org/10.12732/ijpam.v116i3.9

First Department

Mathematics

Acknowledgements

Retrieved August 24, 2018 from https://ijpam.eu/contents/2017-116-3/9/9.pdf

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