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The second initial-boundary value problem with integral displacement for second-order hyperbolic and parabolic equations [Вторая начально-краевая задача с интегральным смещением для гиперболических и параболических уравнений второго порядка] Full article

Journal Вестник Самарского государственного технического университета. Серия «Физико-математические науки»
ISSN: 1991-8615
Output data Year: 2021, Volume: 25, Number: 3, Pages: 423-434 Pages count : 12 DOI: 10.14498/VSGTU1859
Tags Existence; Hyperbolic equations; Integral boundary conditions; Integral conditions; Nonlocal problems; Parabolic equations; Regular solutions; Uniqueness
Authors Kozhanov A.I. 1 , Dyuzheva A.V. 2
Affiliations
1 Sobolev Institute of Mathematics, Siberian Branch, The Russian Academy of Sciences, 4, Acad. Koptyug pr., Novosibirsk, 630090, Russian Federation
2 Samara State Technical University, 244, Molodogvardeyskaya st., Samara, 443100, Russian Federation

Funding (1)

1 Министерство науки и высшего образования РФ 0778-2020-0005

Abstract: In this paper, we study the solvability of some non-local analogs of the second initial-boundary value problem for multidimensional hyperbolic and parabolic equations of the second order. We prove the existence and uniqueness theorems of regular solutions (which have all Sobolev generalized derivatives that are summable with a square and are included in the equation). Some generalization and amplification of the obtained results are also given. © Samara State Technical University
Cite: Kozhanov A.I. , Dyuzheva A.V.
The second initial-boundary value problem with integral displacement for second-order hyperbolic and parabolic equations [Вторая начально-краевая задача с интегральным смещением для гиперболических и параболических уравнений второго порядка]
Вестник Самарского государственного технического университета. Серия «Физико-математические науки». 2021. V.25. N3. P.423-434. DOI: 10.14498/VSGTU1859 WOS Scopus OpenAlex
Identifiers:
Web of science: WOS:000711230200002
Scopus: 2-s2.0-85122574287
OpenAlex: W3209635519
Citing:
DB Citing
Scopus 8
OpenAlex 8
Web of science 5
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