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

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
Copyright
Copyright © Royal Society of Edinburgh 1993

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