Abstract
We consider the Cauchy-Neumann problem for the heat equation in the exterior domain $\Omega$ of a compact set in ${\bf R}^N$ ($N\ge 2$). In this paper we give an estimate of the $L^\infty$-norm of the gradient of the solutions.
Citation
Kazuhiro Ishige. "Gradient estimates for the heat equation in the exterior domains under the Neumann boundary condition." Differential Integral Equations 22 (5/6) 401 - 410, May/June 2009. https://doi.org/10.57262/die/1356019598
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