Geodesic
High Frequency Resolvent Estimates and Energy Decay of Solutions to the Wave Equation
Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 504-514

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DOI

We prove an uniform Hölder 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.
DOI : 10.4153/CMB-2004-050-3
Mots-clés : 35B37, 35J15, 47F05 
Cardoso, Fernando; Vodev, Georgi. High Frequency Resolvent Estimates and Energy Decay of Solutions to the Wave Equation. Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 504-514. doi: 10.4153/CMB-2004-050-3
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     title = {High {Frequency} {Resolvent} {Estimates} and {Energy} {Decay} of {Solutions} to the {Wave} {Equation}},
     journal = {Canadian mathematical bulletin},
     pages = {504--514},
     year = {2004},
     volume = {47},
     number = {4},
     doi = {10.4153/CMB-2004-050-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-050-3/}
}
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