Limiting behavior of the strongly damped extensible beam equation (Q1174360)
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scientific article; zbMATH DE number 8608
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limiting behavior of the strongly damped extensible beam equation |
scientific article; zbMATH DE number 8608 |
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Limiting behavior of the strongly damped extensible beam equation (English)
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25 June 1992
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This paper deals with the convergence of regularizing solutions to the solution of the extensible beam equation, which describes the transverse deflection of a beam whose ends are held a fixed distance apart. Applying the methods of energy estimates, coupled with semigroup theory and theory of cosine and sine operators to the strongly damped beam equation, the convergence is established.
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convergence of regularizing solutions
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transverse deflection
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energy estimates
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semigroup theory
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theory of cosine and sine operators
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