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| NONLINEAR BOUNDARY STABILIZATION OFWAVE EQUATIONS WITH VARIABLE COEFFICIENTS |
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Citation： |
FENG Shaoji,FENG Dexing.NONLINEAR BOUNDARY STABILIZATION OFWAVE EQUATIONS WITH VARIABLE COEFFICIENTS[J].Chinese Annals of Mathematics B,2003,24(2):239~248 |
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Net amount： 893 |
Authors： |
FENG Shaoji; FENG Dexing |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.60174008). |
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| Abstract： |
The wave equation with variable
coefficients with a nonlinear dissipative boundary feedback is
studied. By the Riemannian geometry method and the multiplier
technique, it is shown that the closed loop system decays
exponentially or asymptotically, and hence the relation between
the decay rate of the system energy and the nonlinearity behavior
of the feedback function is established. |
Keywords： |
Wave equations, nonlinear boundary feedback, exponential decay, asymptotic
decay, Riemannian manifold |
Classification： |
35L05, 35K50, 58J45, 93C |
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