Achieving Arbitrarily Large Decay in the Damped Wave Equation

Authors:
Carlos Castro;Steven J. Cox
Affiliations:
-;-
Venue:
SIAM Journal on Control and Optimization
Year:
2000

Citing 0
Cited 1

Optimal Internal Dissipation of a Damped Wave Equation Using a Topological Approach

International Journal of Applied Mathematics and Computer Science

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Abstract

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.