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Semi-internal Stabilization for a Non-linear Bernoulli–Euler Equation

✍ Scribed by Marius Tucsnak

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 374 KB
Volume: 19
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19960725)19:11<897::aid-mma801>3.0.co;2-#

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✦ Synopsis

We consider a non-linear plate equation of Bernoulli-Euler type with a locally distributed damping term. Our main result asserts that if the damping is effective in a neighbourhood of the boundary then the energy decays exponentially. The method we use is a combination of multiplier techniques and of a compactnessuniqueness argument.

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