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Ufimskii Matematicheskii Zhurnal, 2009, Volume 1, Issue 1, Pages 38–68
(Mi ufa4)
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This article is cited in 3 scientific papers (total in 3 papers)
On existence and uniqueness of solutions of the Dirichlet's problem for pseudodifferential elliptic equations in domains with non-compact boundaries
L. M. Kojevnikova Sterlitamak State Pedagogical Academy
Abstract:
It is found a class of uniqueness of solutions of the Dirichlet's problem for pseudodifferential elliptic equations in domains with non-compact boundaries. The restriction on a growth of solutions is formulated in terms of geometric characteristics of unbounded domain Ω. They were introduced earlier in author's papers for quasielliptic equations. It is proved the existence of solution belonging to the class of uniqueness.
Keywords:
pseudodifferential elliptic equations, Dirichlet’s problem, class of uniqueness, unbounded domain, domain with non-compact boundaries, existence of solution, geometric characteristics.
Received: 27.02.2009
Citation:
L. M. Kojevnikova, “On existence and uniqueness of solutions of the Dirichlet's problem for pseudodifferential elliptic equations in domains with non-compact boundaries”, Ufa Math. J., 1:1 (2009)
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https://www.mathnet.ru/eng/ufa4 https://www.mathnet.ru/eng/ufa/v1/i1/p38
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Abstract page: | 534 | Full-text PDF : | 205 | References: | 83 | First page: | 2 |
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