DECAY ESTIMATES FOR WAVE EQUATIONS WITH VARIABLE COEFFICIENTS

作者：Radu Petronela^*; Todorova Grozdena; Yordanov Borislav

来源：Transactions of the American Mathematical Society, 2010, 362(5): 2279-2299.

• Wave equations with variable coefficients
• linear dissipation
• decay rates
• subsolution

We establish weighted L(2)-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 L(2)-norm of solutions. The proof is based on the multiplier method where multipliers are specially engineered from asymptotic profiles of related parabolic equations.

• 出版日期2010-5