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This article is cited in 3 scientific papers (total in 3 papers)
On some boundary value problems for multidimensional higher order equations of mixed type
S. Z. Djamalovab, S. G. Pyatkovcd a V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan
b Branch of Gubkin Russian State University of Oil and Gaz (National research University) in Tashkent
c Yugra State University, Khanty-Mansiysk
d Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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.
Received: 19.12.2019 Revised: 19.12.2019 Accepted: 19.02.2020
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
Linking options:
https://www.mathnet.ru/eng/smj6019 https://www.mathnet.ru/eng/smj/v61/i4/p777
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Abstract page: | 248 | Full-text PDF : | 79 | References: | 43 | First page: | 4 |
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