1. CMB 2004 (vol 47 pp. 504)
|High Frequency Resolvent Estimates and Energy Decay of Solutions to the Wave Equation |
We prove an uniform H\"older continuity of the resolvent of the Laplace-Beltrami operator on the real axis for a class of asymptotically Euclidean Riemannian manifolds. As an application we extend a result of Burq on the behaviour of the local energy of solutions to the wave equation.
Categories:35B37, 35J15, 47F05