A direct approach to Gevrey regularity on the half-space

Igor Kukavica, Vlad Vicol

Research output: Chapter in Book/Report/Conference proceedingChapter


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
Number of pages21
ISBN (Electronic)9781108610575
ISBN (Print)9781108460965
StatePublished - Jan 1 2019


  • 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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