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Numerical verification method for positiveness of solutions to elliptic equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Tanaka, Kazuaki Sekine, Kouta Oishi, Shin'ichi |
| Copyright Year | 2016 |
| 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/1606.03818v2.pdf |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/1606.03818 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |