Remarks on the asymptotic behavior of solutions to damped evolution equations in Hilbert space
Author:
Frederick Bloom
Journal:
Proc. Amer. Math. Soc. 75 (1979), 25-31
MSC:
Primary 34G10; Secondary 35B40
DOI:
https://doi.org/10.1090/S0002-9939-1979-0529206-7
MathSciNet review:
529206
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Abstract | References | Similar Articles | Additional Information
Abstract: Lower bounds are derived for the norms of solutions to a class of intitial-value problems associated with the damped evolution equation in Hilbert space. Under appropriate assumptions on the linear operator B it is shown that even in the special strongly damped case where
, solutions are bounded away from zero as
, even when
.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1979-0529206-7
Article copyright:
© Copyright 1979
American Mathematical Society