Remarks on the asymptotic behavior of solutions to damped evolution equations in Hilbert space
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- by Frederick Bloom PDF
- Proc. Amer. Math. Soc. 75 (1979), 25-31 Request permission
Abstract:
Lower bounds are derived for the norms of solutions to a class of intitial-value problems associated with the damped evolution equation ${u_{tt}} + A{u_t} + Bu = 0$ in Hilbert space. Under appropriate assumptions on the linear operator B it is shown that even in the special strongly damped case where $A = \Gamma I,\Gamma > 0$, solutions are bounded away from zero as $t \to + \infty$, even when $\Gamma \to + \infty$.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- 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