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Ultraparabolic equations with degeneration Научная публикация

Журнал

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795

Вых. Данные

Год: 2024, Страницы: 1-9 Страниц : 9 DOI: 10.1007/s10958-024-07415-3

Ключевые слова

Boundary value problems · Ultraparabolic equations · Degeneracy · Solutions · Existence · Uniqueness

Авторы

Kozhanov Alexander ¹ , Tsyrempilova Inessa ²

Организации

1	Laboratory of Differential and Difference Equations, Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Koptyug Av. 4, Novosibirsk, 630090, Russia
2	Fundamental Mathematics Department, Dorji Banzarov Buryat State University, Smolin St.24a, 670000, Ulan-Ude, Russia

Информация о финансировании (1)

Российский научный фонд

23-21-00269

We prove existence and uniqueness theorems for regular solutions to boundary value problems for ultraparabolic differential equations with temporal variables y1,..,ym and spatial variables x1,..,xn. The problems under study have the peculiarity that the corresponding differential equations may degenerate both in the temporal and spatial parts; moreover, the evolution direction with respect to some temporal variables can change arbitrarily.

Kozhanov A. , Tsyrempilova I.
Ultraparabolic equations with degeneration
Journal of Mathematical Sciences (United States). 2024. P.1-9. DOI: 10.1007/s10958-024-07415-3 Scopus РИНЦ OpenAlex

Принята к публикации:	25 окт. 2024 г.
Опубликована online:	28 нояб. 2024 г.

Scopus:	2-s2.0-85210486612
РИНЦ:	79683883
OpenAlex:	W4404829138

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