Document Zbl 0983.35095

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Achieving arbitrarily large decay in the damped wave equation. (English) Zbl 0983.35095

SIAM J. Control Optimization 39, No. 6, 1748-1755 (2001).

Summary: We exhibit a sequence of viscous dampings for the fixed string that yields arbitrarily fast attenuation of any and all initial disturbances. The limit case produces extinction of all solutions in finite time.

Cited in 17 Documents

MSC:

35P15	Estimates of eigenvalues in context of PDEs
35L05	Wave equation

Keywords:

damped wave equation; decay rate

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