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On the differentiability of the solution to an equation with drift and fractional diffusion

Authors
  • Silvestre, Luis
Type
Preprint
Publication Date
Mar 30, 2012
Submission Date
Dec 10, 2010
Source
arXiv
License
Yellow
External links

Abstract

We consider an equation with drift and either critical or supercritical fractional diffusion. Under a regularity assumption for the vector field that is marginally stronger than what is required for Holder continuity of the solutions, we prove that the solution becomes immediately differentiable with Holder continuous derivatives. Therefore, the solutions to the equation are classical.

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