Numerical verification method for positiveness of solutions to elliptic equations
Numerical Analysis
2016-07-05 v2 Analysis of PDEs
Functional Analysis
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.
Keywords
Cite
@article{arxiv.1606.03818,
title = {Numerical verification method for positiveness of solutions to elliptic equations},
author = {Kazuaki Tanaka and Kouta Sekine and Shin'ichi Oishi},
journal= {arXiv preprint arXiv:1606.03818},
year = {2016}
}
Comments
16 pages and 2 figures