Fourth order quasilinear evolution equations of hyperbolic type (Q1801839)
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scientific article; zbMATH DE number 218417
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourth order quasilinear evolution equations of hyperbolic type |
scientific article; zbMATH DE number 218417 |
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Fourth order quasilinear evolution equations of hyperbolic type (English)
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17 August 1993
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Higher order evolution equations in Hilbert space may be sometimes better studied by ad hoc methods, rather than reducing them to first order systems. We illustrate this by solving the Cauchy problem for an equation, which is a variation on the theme of the Timoshenko beam equation. This is a first step towards the study of the evolution equations which contains the composition of two quasilinear wave operators.
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nonlinear hyperbolic problems
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fourth order operators
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Timoshenko- Kirchhoff equation
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vibration of beams
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Cauchy problem
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Timoshenko beam equation
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