Boundary-value problems for one class of composite equations with the wave operator in the principal part Full article
| Journal |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2025, Volume: 287, Number: 6, Pages: 890-897 Pages count : 8 DOI: 10.1007/s10958-025-07648-w | ||||
| Tags | composite equation, wave operator, initial-boundary-value problem, nonlocal boundary-value problem, regular solution, existence, uniqueness. | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (1)
| 1 | Russian Foundation for Basic Research | 18-51-41009 |
Abstract:
The work is devoted to the solvability of local and nonlocal boundary-value problems for composite (Sobolev-type) equations + Bu = f(x, t), where , Δ is the Laplace operator acting on spatial variables, B is a second-order differential operator that also acts on spatial variables, and p is a nonnegative integer. For these equations, the existence and uniqueness of regular solutions (possessing all generalized derivatives in the Sobolev sense that are involved in the equation) are proved to initial-boundary-value problems and the boundary-value problems nonlocal in the time variable. Some generalizations and refinements of the results obtained are also described.
Cite:
Kozhanov A.I.
, Plekhanova T.P.
Boundary-value problems for one class of composite equations with the wave operator in the principal part
Journal of Mathematical Sciences (United States). 2025. V.287. N6. P.890-897. DOI: 10.1007/s10958-025-07648-w Scopus РИНЦ OpenAlex
Boundary-value problems for one class of composite equations with the wave operator in the principal part
Journal of Mathematical Sciences (United States). 2025. V.287. N6. P.890-897. DOI: 10.1007/s10958-025-07648-w Scopus РИНЦ OpenAlex
Dates:
| Published print: | Feb 26, 2025 |
| Published online: | Feb 26, 2025 |
Identifiers:
| Scopus: | 2-s2.0-85218727179 |
| Elibrary: | 81760815 |
| OpenAlex: | W4407984166 |
Citing:
Пока нет цитирований