Polynomial decay rate for the dissipative wave equation
نویسندگان
چکیده
منابع مشابه
Nearly a polynomial decay rate for the dissipative wave equation
The study of stabilization of the linear dissipative wave equation in a bounded domain with Dirichlet boundary condition is now an old problem. The exponential decay rate of the energy was established by Bardos, Lebeau and Rauch [ BLR] under a geometrical hypothesis linked with the geodesics. Furthermore such condition called geometric control condition is almost necessary to get a uniform expo...
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This paper is devoted to study the stabilization of the linear wave equation in a bounded domain damped in a subdomain when the geometrical control condition (see [ BLR]) of the work of C. Bardos, G. Lebeau and J. Rauch is not fulfilled. In such case, they [ BLR] proved that the uniform exponential decay rate of the energy cannot be hoped due to the existence of a trapped ray that never reaches...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2007
ISSN: 0022-0396
DOI: 10.1016/j.jde.2007.05.016