Abstract:
Exact classes of uniqueness of the solutions are indicated for general boundary value problems in a half-space. Algebraic conditions sufficient for these problems to be well posed in classes much broader than those considered heretofore are adduced. The results are applied to the study of a mixed problem in a quarter-space in classes of increasing functions.
Bibliography: 18 titles.
Citation:
A. L. Pavlov, “On general boundary value problems for differential equations with constant coefficients in a half-space”, Math. USSR-Sb., 32:3 (1977), 313–334
\Bibitem{Pav77}
\by A.~L.~Pavlov
\paper On general boundary value problems for differential equations with constant coefficients in a~half-space
\jour Math. USSR-Sb.
\yr 1977
\vol 32
\issue 3
\pages 313--334
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\crossref{https://doi.org/10.1070/SM1977v032n03ABEH002389}
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Linking options:
https://www.mathnet.ru/eng/sm2821
https://doi.org/10.1070/SM1977v032n03ABEH002389
https://www.mathnet.ru/eng/sm/v145/i3/p367
This publication is cited in the following 19 articles:
G. A. Karapetyan, H. A. Petrosyan, “Multianisotropic integral operators defined by regular equations”, Siberian Math. J., 60:3 (2019), 472–489
A. L. Pavlov, “Solvability of boundary value problems in a half-space for differential equations with constant coefficients in the class of tempered distributions”, Siberian Math. J., 54:4 (2013), 697–712
Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative, 2003
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Tovmasyan N., “A General Boundary-Value Problem for a Differential-Equation System in a Half-Plane, with Lopatinskii,Ya.B. Condition Violated”, Differ. Equ., 20:1 (1984), 109–118
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Tovmasyan N., “General Boundary-Value-Problems for Partial-Differential Equation Systems in a Half-Space in the Class of Generalized-Functions”, Differ. Equ., 20:12 (1984), 1513–1520
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