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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
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
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
Linking options:
https://www.mathnet.ru/eng/svfu197 https://www.mathnet.ru/eng/svfu/v24/i4/p17
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