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Mathematical notes of NEFU, 2017, Volume 24, Issue 4, Pages 17–27
DOI: https://doi.org/10.25587/SVFU.2018.4.11313 (Mi svfu197) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Mathematics

On correctness of nonlocal edge problem with constant coefficient for multidimensional second order equation of mixed type

S. Z. Djamalov

Academy of Sciences of the Republic of Uzbekistan, Institute of Mathematics, 81 M. Ulugbek Street, Akademgorodok, Tashkent 100170, Uzbekistan
Full-text PDF (264 kB) Citations (5)
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DOI: https://doi.org/10.25587/SVFU.2018.4.11313
Abstract: We formulate a nonlocal boundary-value problem for a second order multidimensional equation of mixed type covering classical elliptic, hyperbolic, and parabolic equations. We prove regular solvability of the posed nonlocal boundary-value problem in Sobolev spaces.
Keywords: second order multidimensional equation of mixed type, nonlocal boundary value problem, generalized solution, regular solution, uniqueness, existence, smoothness of solution, method of $\varepsilon$-regularization, Galerkin method, a priori estimates.
Received: 26.02.2017
Bibliographic databases:
Document Type: Article
UDC: 517.956.6
Language: Russian
Citation: S. Z. Djamalov, “On correctness of nonlocal edge problem with constant coefficient for multidimensional second order equation of mixed type”, Mathematical notes of NEFU, 24:4 (2017), 17–27
Citation in format AMSBIB
\Bibitem{Dja17}
\by S.~Z.~Djamalov
\paper On correctness of nonlocal edge problem with constant coefficient for multidimensional second order equation of mixed type
\jour Mathematical notes of NEFU
\yr 2017
\vol 24
\issue 4
\pages 17--27
\mathnet{http://mi.mathnet.ru/svfu197}
\crossref{https://doi.org/10.25587/SVFU.2018.4.11313}
\elib{https://elibrary.ru/item.asp?id=32724026}
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