Ultraparabolic equations with degeneration

Ultraparabolic equations with degeneration Full article

Journal

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

Output data

Year: 2024, Pages: 1-9 Pages count : 9 DOI: 10.1007/s10958-024-07415-3

Tags

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

Authors

Kozhanov Alexander ¹ , Tsyrempilova Inessa ²

Affiliations

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

Funding (1)

Russian Science Foundation

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

Accepted:	Oct 25, 2024
Published print:	Nov 28, 2024
Published online:	Nov 28, 2024

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

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