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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 2, Pages 295–313
(Mi smj1296)
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This article is cited in 3 scientific papers (total in 3 papers)
A general Darboux-type boundary value problem in curvilinear domains with corners for a third-order equation with dominated lower-order terms
O. M. Dzhokhadze A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Abstract:
We study solvability of the Darboux-type boundary value problem for a third-order linear partial differential equation with dominated lower-order terms. We indicate function spaces in which the problem is uniquely solvable and Hausdorff normally solvable. In the second case, the corresponding homogeneous problem is shown to have infinitely many linearly independent solutions.
Received: 20.11.2000
Citation:
O. M. Dzhokhadze, “A general Darboux-type boundary value problem in curvilinear domains with corners for a third-order equation with dominated lower-order terms”, Sibirsk. Mat. Zh., 43:2 (2002), 295–313; Siberian Math. J., 43:2 (2002), 235–250
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https://www.mathnet.ru/eng/smj1296 https://www.mathnet.ru/eng/smj/v43/i2/p295
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Abstract page: | 219 | Full-text PDF : | 90 |
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