On norm of functions and their derivatives (Q2707370)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On norm of functions and their derivatives |
scientific article |
Statements
2 April 2001
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ordinary linear operators
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Green's function
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boundary value problems
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inverse problems
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Sobolev's space
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a priori estimates
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On norm of functions and their derivatives (English)
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The problem of an integral presentation of some functions of Sobolev's space via the Green functions of differential operators is considered. The smoothness of the functions under discussion and the boundary values which they satisfy are maximally used in the integral presentation. As a result some norms of functions and their derivatives are obtained which can be used for a priori estimates of solutions of different problems. For example, it can be used for solving an inverse problem of ordinary differential equations.
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