Elliptic and Parabolic Equations with Involution and Degeneration at Higher Derivatives

Elliptic and Parabolic Equations with Involution and Degeneration at Higher Derivatives Full article

Journal

Mathematics
, E-ISSN: 2227-7390

Output data

Year: 2022, Volume: 10, Number: 18, Article number : 3325, Pages count : DOI: 10.3390/math10183325

Tags

boundary value problem; degeneration; elliptic equation; existence; involution; parabolic equation; regular solution; uniqueness

Authors

Kozhanov A.I. ¹ , Bzheumikhova O.I. ²

Affiliations

1	Sobolev Institute of Mathematics, Acad. Koptyug Av. 4, Novosibirsk, 630090, Russian Federation
2	Department of Algebra and Differential Equations, Kabardino-Balkarian State University Named after H.M. Berbekov, Chernyshevskogo St. 173, Nalchik, 360004, Russian Federation

Funding (1)

Министерство науки и высшего образования РФ
Mathematical Center in Akademgorodok

075-15-2019-1613, 075-15-2022-281

We study the solvability in Sobolev spaces of boundary value problems for elliptic and parabolic equations with variable coefficients in the presence of an involution (involutive deviation) at higher derivatives, both in the nondegenerate and degenerate cases. For the problems under study, we prove the existence theorems as well as the uniqueness of regular solutions, i.e., those that have all weak derivatives in the equation. © 2022 by the authors.

Kozhanov A.I. , Bzheumikhova O.I.
Elliptic and Parabolic Equations with Involution and Degeneration at Higher Derivatives
Mathematics. 2022. V.10. N18. 3325 . DOI: 10.3390/math10183325 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000858659700001
Scopus:	2-s2.0-85138611953
Elibrary:	56752556
OpenAlex:	W4296101116

DB	Citing
Scopus	5
Web of science	4
OpenAlex	4