Holder estimates for advection fractional-diffusion equations

Details Holder estimates for advection fractional-diffusion equations Holder estimates for advection fractional-diffusion equations

2010-09-29

arxiv.org/abs/1009.5723v2

Mathematics

Analysis of PDEs

some typos fixed

Scientific paper

We analyse conditions for an evolution equation with a drift and fractional diffusion to have a Holder continuous solution. In case the diffusion is of order one or more, we obtain Holder estimates for the solution for any bounded drift. In the case when the diffusion is of order less than one, we require the drift to be a Holder continuous vector field in order to obtain the same type of regularity result.

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