Mathematics – Analysis of PDEs
Scientific paper
2011-11-08
Mathematics
Analysis of PDEs
20pages, a maximal principle was added
Scientific paper
In this paper we prove the existence of smooth solutions to fully nonlinear
and nonlocal parabolic equations with critical index. The proof relies on the
apriori H\"older estimate for advection fractional-diffusion equation
established by Silvestre \cite{Si2}.
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