On a semilinear parabolic equation with inverse-square potential
type: Item
instance of: scholarly article
title: On a semilinear parabolic equation with inverse-square potential
zbMATH Open document ID: 1207.35193
DOI: 10.4171/RLM/578
author: Fabio Punzo
author: Alberto Tesei
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2011-01-26T00:00:00Z
review text: The authors study existence and uniqueness, nonexistence and nonuniqueness of nonnegative solutions to a semilinear parabolic equation with inverse-square potential. Analogous existence and nonexistence results for the companion elliptic equation were proved by Brezis, Dupaigne and Tesei. Punzo and Tesei use semigroup estimates to reach this result. Concerning nonuniqueness, the authors extend, ina non trivial way, the results proved by Ni and Sacks for the case without potential.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35K67
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 5841652
zbMATH Keywords: semigroup estimates
zbMATH Keywords: nonnegative solutions
zbMATH Keywords: well-posedness
zbMATH Keywords: instantaneous blow-up
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5841652