On the strongly damped wave equation and the heat equation with mixed boundary conditions (Q1608769)
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scientific article; zbMATH DE number 1780505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the strongly damped wave equation and the heat equation with mixed boundary conditions |
scientific article; zbMATH DE number 1780505 |
Statements
On the strongly damped wave equation and the heat equation with mixed boundary conditions (English)
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13 August 2002
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This paper is concerned with the study of the existence of strong solutions, as well as the existence of compact global attractors for two one-dimensional equations: the strongly damped wave equation and the heat equation, both having mixed boundary conditions. The problem is studied in two different spaces, namely \(L^2\) and \(H^1\). The bounded dissipativeness technique and an Aubin-Lion type argument are used.
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strong solution
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global attractor
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bounded dissipativeness
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strongly damped wave equation
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heat equation
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mixed boundary conditions
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