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1. CMB 2004 (vol 47 pp. 504)
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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 |