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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 1129–1149
DOI: https://doi.org/10.17377/semi.2016.13.089 (Mi semr739) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Differentical equations, dynamical systems and optimal control

Potentials for elliptic boundary value problems in cones

V. B. Vasilyevab

a Lipetsk State Technical University, Chair of Pure Mathematics, Moskovskaya 30, Lipetsk 398600, Russia
b National Research Belgorod State University, Chair of Differential Equations, Studencheskaya 14/1, Belgorod 308007, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.089
Abstract: One discusses a solving procedure for elliptic pseudo differential equations in a model multidimensional cone, and using the concept of wave factorization one studies a solvability for this equation. Taking into account the construction for a general solution one needs some additional conditions for a unique solvability. For simplest cases one gives a reduction of the obtained boundary value problem to certain integral equation like classical potential method.
Keywords: elliptic pseudo differential equation, wave factorization, cone, boundary value problem.
Received February 14, 2016, published December 8, 2016
Bibliographic databases:
Document Type: Article
UDC: 517.954
MSC: 35S15
Language: Russian
Citation: V. B. Vasilyev, “Potentials for elliptic boundary value problems in cones”, Sib. Èlektron. Mat. Izv., 13 (2016), 1129–1149
Citation in format AMSBIB
\Bibitem{Vas16}
\by V.~B.~Vasilyev
\paper Potentials for elliptic boundary value problems in cones
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 1129--1149
\mathnet{http://mi.mathnet.ru/semr739}
\crossref{https://doi.org/10.17377/semi.2016.13.089}
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    • This publication is cited in the following 5 articles:
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