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arXiv · 1606.03818

Numerical verification method for positiveness of solutions to elliptic equations

Kazuaki Tanaka·Kouta Sekine·Shin'ichi Oishi
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Abstract

In this paper, we propose a numerical method for verifying the positiveness of solutions to semilinear elliptic equations. We provide a sufficient condition for a solution to an elliptic equation to be positive in the domain of the equation, which can be checked numerically without requiring a complicated computation. We present some numerical examples.

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Kazuaki Tanaka, Kouta Sekine, Shin'ichi Oishi. 2016-07-03. Numerical verification method for positiveness of solutions to elliptic equations. https://arxiv.org/abs/1606.03818

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