Decay Rates for Dissipative Wave equations
نویسندگان
چکیده
We derive decay rates for the energy of solutions of dissipative wave equations. The metod of proof combines multiplier techniques and the construction of suitable Lyapunov functionals. Without imposing any growth condition at the origin on the nonlinearity we show that this Lyapunov functional, which is equivalent to the energy of the system, is bounded above by the solution of a differential inequality that tends to zero as time goes to infinity.
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تاریخ انتشار 1999