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Well-posedness of a semilinear heat equation with weak initial data

✍ Scribed by Jiahong Wu

Book ID: 105597773
Publisher: SP Birkhäuser Verlag Boston
Year: 1998
Tongue: English
Weight: 552 KB
Volume: 4
Category: Article
ISSN: 1069-5869
DOI: 10.1007/bf02498228

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## 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 ,