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A nonlinear heat equation with singular initial data

✍ Scribed by Haïm Brezis; Thierry Cazenave

Book ID
112895042
Publisher
Springer-Verlag
Year
1996
Tongue
English
Weight
986 KB
Volume
68
Category
Article
ISSN
0021-7670

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📜 SIMILAR VOLUMES

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Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state
✍ Philippe Souplet; Fred B Weissler 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 190 KB

We prove the existence of positive regular solutions of the Cauchy problem for the nonlinear heat equation u t = u + |u| α u, with initial value µV , for all µ > 1 close enough to 1, where V is the singular stationary solution in R N . This result is obtained when N > 2 and 2 N-2 < α < α \* , where

A semilinear heat equation with a locali
A semilinear heat equation with a localized nonlinear source and non-continuous initial data
✍ Lucas C. F. Ferreira; Elder J. Villamizar-Roa 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 187 KB

## 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 ,