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arXiv · 1704.07562

Local regularity for fractional heat equations

Umberto Biccari·Mahamadi Warma·Enrique Zuazua
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Abstract

We prove the maximal local regularity of weak solutions to the parabolic problem associated with the fractional Laplacian with homogeneous Dirichlet boundary conditions on an arbitrary bounded open set $\Omega\subset\mathbb{R}^N$. Proofs combine classical abstract regularity results for parabolic equations with some new local regularity results for the associated elliptic problems.

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Umberto Biccari, Mahamadi Warma, Enrique Zuazua. 2017-04-25. Local regularity for fractional heat equations. https://arxiv.org/abs/1704.07562

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