Well-posedness of fully nonlinear and nonlocal critical parabolic equations

Xicheng Zhang

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arXiv · 1111.1874

Well-posedness of fully nonlinear and nonlocal critical parabolic equations

Xicheng Zhang

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Abstract

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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Xicheng Zhang. 2011-11-08. Well-posedness of fully nonlinear and nonlocal critical parabolic equations. https://arxiv.org/abs/1111.1874

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