A nonstandard Cauchy problem for the heat equation
- Autores: Makhmudov K.O.1, Makhmudov O.I.1, Tarkhanov N.2
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Afiliações:
- Alisher-Navoi Samarkand State University
- Institut für Mathematik
- Edição: Volume 102, Nº 1-2 (2017)
- Páginas: 250-260
- Seção: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/150096
- DOI: https://doi.org/10.1134/S0001434617070264
- ID: 150096
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Resumo
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.
Sobre autores
K. Makhmudov
Alisher-Navoi Samarkand State University
Autor responsável pela correspondência
Email: komil.84@mail.ru
Uzbequistão, Samarkand
O. Makhmudov
Alisher-Navoi Samarkand State University
Email: komil.84@mail.ru
Uzbequistão, Samarkand
N. Tarkhanov
Institut für Mathematik
Email: komil.84@mail.ru
Alemanha, Potsdam
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