A supersolutions perspective on hypercontractivity

Research output: Contribution to journalArticlepeer-review

Authors

  • Yosuke Aoki
  • Shuji Machihara
  • Kosuke Matsuura
  • Shobu Shiraki

Colleges, School and Institutes

Abstract

The purpose of this article is to expose an algebraic closure property of supersolutions to certain diffusion equations. This closure property quickly gives rise to a monotone quantity which generates a hypercontractivity inequality. Our abstract argument applies to a general Markov semigroup whose generator is a diffusion and satisfies a curvature condition.

Bibliographic note

7 pages

Details

Original languageUndefined/Unknown
JournalAnnali di Matematica Pura ed Applicata
Volume199
Publication statusPublished - 18 Feb 2020

Keywords

  • math.FA, math.AP, math.PR