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A Simplified Proof of a Liouville Theorem for Nonnegative Solution of a Subcritical Semilinear Heat Equations

โœ Scribed by Nejla Nouaili


Book ID
106408553
Publisher
Springer US
Year
2008
Tongue
English
Weight
131 KB
Volume
21
Category
Article
ISSN
1040-7294

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A Liouville-type theorem and the decay o
โœ Peter Polรกฤik; Pavol Quittner ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 173 KB

We consider the semilinear parabolic equation u t = u + u p on R N , where the power nonlinearity is subcritical. We first address the question of existence of entire solutions, that is, solutions defined for all x โˆˆ R N and t โˆˆ R. Our main result asserts that there are no positive radially symmetri