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| THE EXPONENTIAL STABILIZATION FOR A SEMILINEAR WAVE EQUATION WITH LOCALLY DISTRIBUTED FEEDBACK |
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Citation： |
JIA Chaohua,FENG Dexing.THE EXPONENTIAL STABILIZATION FOR A SEMILINEAR WAVE EQUATION WITH LOCALLY DISTRIBUTED FEEDBACK[J].Chinese Annals of Mathematics B,2005,26(3):323~334 |
| Page view： 1067
Net amount： 1036 |
Authors： |
JIA Chaohua; FENG Dexing |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.60334040, No.60225003). |
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| Abstract： |
This paper considers the exponential decay of the solution to a damped semilinear wave equation with variable coefficients in the principal part by Riemannian multiplier method. A differential geometric condition that ensures the exponential decay is obtained. |
Keywords： |
Wave equations, Exponential decay, Distributed damping, Variable coefficients, Riemannian manifold |
Classification： |
35A, 35L05, 35Q, 58J45, 93C20 |
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