Large time behavior of solutions of the heat equation with inverse square potential

Kazuhiro Ishige, Asato Mukai

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Abstract. Let L := −∆ + V be a nonnegative Schrödinger operator on L2(RN), where N ≥ 2 and V is a radially symmetric inverse square potential. In this paper we assume either L is subcritical or null-critical and we establish a method for obtaining the precise description of the large time behavior of e−tLϕ, where ϕ ∈ L2(RN, e|x|2/4 dx).

Original languageEnglish
Pages (from-to)4041-4069
Number of pages29
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume38
Issue number8
DOIs
Publication statusPublished - 2018 Aug

Keywords

  • Inverse square potential
  • Large time behavior
  • Schrödinger operator

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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