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

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

2010-12-10

arxiv.org/abs/1012.2401v3

Mathematics

Analysis of PDEs

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On the differentiability of the solution to an equation with drift and fractional diffusion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the differentiability of the solution to an equation with drift and fractional diffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the differentiability of the solution to an equation with drift and fractional diffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-105333