Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains

Panki Kim, Renming Song

Research output: Contribution to journalArticlepeer-review

Abstract

We extend the concept of intrinsic ultracontractivity to non-symmetric semigroups and prove the intrinsic ultracontractivity of the Dirichlet semigroups of non-symmetric second order elliptic operators in bounded Lipschitz domains.

Original languageEnglish (US)
Pages (from-to)527-547
Number of pages21
JournalTohoku Mathematical Journal
Volume60
Issue number4
DOIs
StatePublished - Dec 2008

Keywords

  • Diffusions
  • Intrinsic ultracontractivity
  • Invariant functions
  • Logaritheoremic Sobolev inequality
  • Semigroups
  • Ultracontractivity

ASJC Scopus subject areas

  • Mathematics(all)

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