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Strong asymptotic stability for a beam equation with weak damping

Published online by Cambridge University Press:  14 November 2011

Eduard Feireisl
Eduard Feireisl
Affiliation:
Institute of Mathematics of the Czechoslovak Academy of Sciences. Žitná 25, 115 67 Praha 1, Czechoslovakia
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Synopsis

Any solution to the problem

is shown to decay to zero in the strong topology of the energy space as t→ ∞. The function β is allowed to be nonmonotone and d is a nonnegative function strictly positive on a nonvoid subset of (0, л).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 2 , 1993 , pp. 365 - 371
Copyright
Copyright © Royal Society of Edinburgh 1993

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