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arXiv · 1704.07992

Solvability of the heat equation with a nonlinear boundary condition

Kotaro Hisa·Kazuhiro Ishige
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Abstract

We obtain necessary conditions and sufficient conditions for the solvability of the heat equation in a half-space of ${\bf R}^N$ with a nonlinear boundary condition. Furthermore, we study the relationship between the life span of the solution and the behavior of the initial function.

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Kotaro Hisa, Kazuhiro Ishige. 2017-04-26. Solvability of the heat equation with a nonlinear boundary condition. https://arxiv.org/abs/1704.07992

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