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 |
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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 |