Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations

Norisuke Ioku, Takayoshi Ogawa

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We consider a heat semigroup with an inverse square potential and prove critical dissipative estimates including the endpoint case. Some application to a nonlinear heat equation with an inverse square potential is also discussed.

Original languageEnglish
Pages (from-to)2274-2293
Number of pages20
JournalJournal of Differential Equations
Volume266
Issue number4
DOIs
Publication statusPublished - 2019 Feb 5

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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