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A semilinear heat equation with a localized nonlinear source and non-continuous initial data

✍ Scribed by Lucas C. F. Ferreira; Elder J. Villamizar-Roa

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 187 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1490

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✦ Synopsis

Communicated by W. Sprößig

This paper is devoted to the study of the Cauchy problem for a semilinear heat equation with nonlinear term presenting a nonlinear source centered in a closed region of the spatial domain . We assume that R n is either a smooth bounded domain or the whole space R n , n 2. The initial data u 0 is assumed to belong to the Lebesgue space L r . /.

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