Abstract:
We describe the statements of boundary value problems for multidimensional higher order equations of mixed type and propose a method for constructing coercive boundary value problems. Also, we prove the generalized and regular solvability of these boundary value problems in Sobolev spaces.
Keywords:mixed type equation, nonlocal boundary value problem, boundary value problem, generalized solution, regular solution, uniqueness, existence.
Citation:
S. Z. Djamalov, S. G. Pyatkov, “On some boundary value problems for multidimensional higher order equations of mixed type”, Sibirsk. Mat. Zh., 61:4 (2020), 777–795; Siberian Math. J., 61:4 (2020), 610–625
\Bibitem{DjaPya20}
\by S.~Z.~Djamalov, S.~G.~Pyatkov
\paper On some boundary value problems for multidimensional higher order equations of mixed type
\jour Sibirsk. Mat. Zh.
\yr 2020
\vol 61
\issue 4
\pages 777--795
\mathnet{http://mi.mathnet.ru/smj6019}
\crossref{https://doi.org/10.33048/smzh.2020.61.405}
\elib{https://elibrary.ru/item.asp?id=45481748}
\transl
\jour Siberian Math. J.
\yr 2020
\vol 61
\issue 4
\pages 610--625
\crossref{https://doi.org/10.1134/S0037446620040059}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000554787900005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85088807152}
Linking options:
https://www.mathnet.ru/eng/smj6019
https://www.mathnet.ru/eng/smj/v61/i4/p777
This publication is cited in the following 3 articles:
A. K. Urinov, M. S. Azizov, “O razreshimosti nelokalnykh nachalno-granichnykh zadach dlya odnogo differentsialnogo uravneniya v chastnykh proizvodnykh vysokogo chetnogo poryadka”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 32:2 (2022), 240–255
Nedyu Popivanov, Tsvetan Hristov, Rudolf Scherer, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2528, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2022, 030005
S. G. Pyatkov, “Boundary value and inverse problems for some classes of nonclassical operator-differential equations”, Siberian Math. J., 62:3 (2021), 489–502