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Boundary Regularity for the $\infty$-Heat Equation. (arXiv:1709.09487v1 [math.AP])
来源于:arXiv
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. 查看全文>>