On direct variational formulations for second order evolutionary equations (Q2839012)
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scientific article; zbMATH DE number 6184000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On direct variational formulations for second order evolutionary equations |
scientific article; zbMATH DE number 6184000 |
Statements
4 July 2013
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potential operator
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Gâteaux derivative
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Euler-Lagrange equations
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On direct variational formulations for second order evolutionary equations (English)
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This paper is mainly concerned with a second order evolutionary operator. The main results establish necessary and sufficient conditions that an operator be potential with respect to a certain bilinear form. The proofs follow by standard analytic tools that exploit the properties of skew-symmetric operators. The abstract results are illustrated by a class of evolution partial differential equations with potentials depending on the time.
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