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Local regularity for fractional heat equations. (arXiv:1704.07562v1 [math.AP])
来源于:arXiv
We prove the maximal local regularity of weak solutions to the parabolic
problem associated with the fractional Laplacian with Dirichlet boundary
condition on an arbitrary bounded open set $\Omega\subset\mathbb{R}^N$. The key
tool consists in combining classical abstract regularity results for parabolic
equations with some new local regularity results for the associated elliptic
equation. 查看全文>>