A Rado theorem for the porous medium equation
- We prove that if u is a locally Lipschitz continuous function on an open set chi subset of Rn + 1 satisfying the nonlinear heat equation partial derivative(t)u = Delta(vertical bar u vertical bar(p-1) u), p > 1, weakly away from the zero set u(-1) (0) in chi, then u is a weak solution to this equation in all of chi.
| Author details: | Dmitry Fedchenko, Nikolai Nikolaevich TarkhanovORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1007/s40590-017-0169-3 |
| ISSN: | 1405-213X |
| ISSN: | 2296-4495 |
| Title of parent work (English): | Boletin de la Sociedad Matemática Mexicana |
| Publisher: | Springer |
| Place of publishing: | Cham |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2018 |
| Publication year: | 2017 |
| Release date: | 2021/09/22 |
| Tag: | Porous medium equation; Quasilinear equations; Removable sets |
| Volume: | 24 |
| Issue: | 2 |
| Number of pages: | 11 |
| First page: | 427 |
| Last Page: | 437 |
| Funding institution: | grant of the Russian Federation Government for scientific research under the supervision of leading scientist at the Siberian Federal University [14.Y26.31.0006] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
| Publishing method: | Open Access / Green Open-Access |
