A direct approach to Gevrey regularity on the half-space

Igor Kukavica, Vlad Vicol

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We consider the inhomogeneous heat and Stokes equations on the half space and prove an instantaneous space-time analytic regularization result, uniformly up to the boundary of the half space.

Original languageEnglish (US)
Title of host publicationPartial Differential Equations in Fluid Mechanics
PublisherCambridge University Press
Pages268-288
Number of pages21
ISBN (Electronic)9781108610575
ISBN (Print)9781108460965
DOIs
StatePublished - Jan 1 2019

Keywords

  • Gevrey regularity
  • Half-space
  • Heat equation
  • Instantaneous space-time analyticity
  • Uniform estimates up to the boundary

ASJC Scopus subject areas

  • General Mathematics

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