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The heat equation for the Dirichlet fractional Laplacian with negative potentials: Existence and blow-up of nonnegative solutions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Amor, Ali Ben Kenzizi, Tarek |
| Copyright Year | 2014 |
| Abstract | We establish conditions ensuring either existence or blow-up of nonnegative solutions for the heat equation generated by the Dirichlet fractional Laplacian perturbed by negative potentials on bounded sets. The elaborated theory is supplied by some examples. |
| Starting Page | 981 |
| Ending Page | 995 |
| Page Count | 15 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10114-017-6246-8 |
| Volume Number | 33 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1402.3141v5.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10114-017-6246-8 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
