Mixed problem with integral conditions for a certain class of hyperbolic equations (Q5955001)
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scientific article; zbMATH DE number 1702929
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mixed problem with integral conditions for a certain class of hyperbolic equations |
scientific article; zbMATH DE number 1702929 |
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Mixed problem with integral conditions for a certain class of hyperbolic equations (English)
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16 July 2002
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Summary: We study a mixed problem with purely integral conditions for a class of two-dimensional second-order hyperbolic equations. We prove the existence, uniqueness, and the continuous dependence upon the data of a generalized solution. We use a functional analysis method based on a priori estimate and on the density of the range of the operator generated by the considered problem.
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integral conditions
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two-dimensional second-order hyperbolic equations
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continuous dependence upon the data
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functional analysis method
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