A variational formula for Dirichlet forms and existence of ground states

Masayoshi Takeda

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

Let L be the generator of a symmetric Markov process on a locally compact separable metric space, and μ a certain measure in the Kato class. Employing a variational formula for Dirichlet forms, we show the existence of a ground state of the time-changed operator -1μL or the Schrödinger-type operator -L+μ.

Original languageEnglish
Pages (from-to)660-675
Number of pages16
JournalJournal of Functional Analysis
Volume266
Issue number2
DOIs
Publication statusPublished - 2014 Jan 15

Keywords

  • Dirichlet form
  • Ground state
  • Symmetric Markov process
  • Variational formula

ASJC Scopus subject areas

  • Analysis

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