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 |