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Stability theory for quasi-linear wave equations with linear damping

Published online by Cambridge University Press:  14 November 2011

R. W. Dickey
R. W. Dickey
Affiliation:
University of Wisconsin, Madison, U.S.A.
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Synopsis

Large time behaviour of solutions to a damped quasi-linear wave equation are studied. Conditions are obtained which guarantee the global existence of a classical solution. The asymptotic behaviour of this solution is studied in the case of a unique equilibrium solution and in the case of multiple equilibria. The results are applied to various special examples.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 88 , Issue 1-2 , 1981 , pp. 25 - 41
Copyright
Copyright © Royal Society of Edinburgh 1981

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