Email this article A nonstandard Cauchy problem for the heat equation
- Authors: Makhmudov K.O.1, Makhmudov O.I.1, Tarkhanov N.2
-
Affiliations:
- Alisher-Navoi Samarkand State University
- Institut für Mathematik
- Issue: Vol 102, No 1-2 (2017)
- Pages: 250-260
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150096
- DOI: https://doi.org/10.1134/S0001434617070264
- ID: 150096
Cite item
Open Access
Access granted
Subscription Access
Abstract
We consider the Cauchy problem for the heat equation in a cylinder CT = X × (0, T) over a domain X in Rn, with data on a strip lying on the lateral surface. The strip is of the form S × (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.
About the authors
K. O. Makhmudov
Alisher-Navoi Samarkand State University
Author for correspondence.
Email: komil.84@mail.ru
Uzbekistan, Samarkand
O. I. Makhmudov
Alisher-Navoi Samarkand State University
Email: komil.84@mail.ru
Uzbekistan, Samarkand
N. Tarkhanov
Institut für Mathematik
Email: komil.84@mail.ru
Germany, Potsdam
Supplementary files
