Decay estimates for wave equations with variable coefficients
نویسندگان
چکیده
منابع مشابه
Decay Estimates for Wave Equations with Variable Coefficients
We establish weighted L2−estimates for dissipative wave equations with variable coefficients that exhibit a dissipative term with a space dependent potential. These results yield decay estimates for the energy and the L2−norm of solutions. The proof is based on the multiplier method where multipliers are specially engineered from asymptotic profiles of related parabolic equations.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2009
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-09-04742-4