Dirichlet Problem for a fourth-order equation
In a rectangular domain on the plane, we consider the Dirichlet problem for a fourthorder pseudoparabolic equation with double differentiation with respect to each of the variables. To solve the problem, we reduce it to a system of Fredholm equations, whose solvability is established under additiona...
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Published in | Differential equations Vol. 47; no. 4; pp. 599 - 603 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Dordrecht
SP MAIK Nauka/Interperiodica
01.04.2011
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | In a rectangular domain on the plane, we consider the Dirichlet problem for a fourthorder pseudoparabolic equation with double differentiation with respect to each of the variables. To solve the problem, we reduce it to a system of Fredholm equations, whose solvability is established under additional conditions on the coefficients of the equation by the method of a priori estimates. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0012-2661 1608-3083 |
DOI: | 10.1134/S001226611104015X |