Holder estimates for advection fractional-diffusion equations

2010/09/29 by Luis Silvestre, Silvestre, Luis
Mathematics · #35B65 (Primary) 35R11 #35K99 (Secondary) #35R09 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B65 #msc:35K99 #msc:35R09 #msc:35R11

paper · pdf · doi:10.48550/arxiv.1009.5723

some typos fixed

arxiv created 2011/04/22 · arxiv updated 2011/04/26

Abstract

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.

Related

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