A nonstandard Cauchy problem for the heat equation
- We consider the Cauchy problem for the heat equation in a cylinder C (T) = X x (0, T) over a domain X in R (n) , with data on a strip lying on the lateral surface. The strip is of the form S x (0, T), where S is an open subset of the boundary of X. The problem is ill-posed. Under natural restrictions on the configuration of S, we derive an explicit formula for solutions of this problem.
| Author details: | K. O. Makhmudov, O. I. Makhmudov, Nikolai Nikolaevich TarkhanovORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1134/S0001434617070264 |
| ISSN: | 0001-4346 |
| ISSN: | 1573-8876 |
| Title of parent work (English): | Mathematical Notes |
| Publisher: | Pleiades Publ. |
| Place of publishing: | New York |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2017/10/26 |
| Publication year: | 2017 |
| Release date: | 2022/04/13 |
| Volume: | 102 |
| Number of pages: | 11 |
| First page: | 250 |
| Last Page: | 260 |
| Funding institution: | Deutscher Akademischer Austauschdienst |
| 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 |
