Boundary Regularity for the $\infty$-Heat Equation

Nikolai Ubostad

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arXiv · 1709.09487

Boundary Regularity for the $\infty$-Heat Equation

Nikolai Ubostad

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Abstract

We study the boundary regularity for the normalised $\infty$-heat equation $u_t = \Delta_{\infty}^Nu$ in arbitrary domains. Perron's Method is used for constructing solutions. We characterize regular boundary points with barrier functions, and prove an Exterior Ball result. A Petrovsky-like criterion is established.

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Nikolai Ubostad. 2017-09-27. Boundary Regularity for the $\infty$-Heat Equation. https://arxiv.org/abs/1709.09487

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