Preprint Decay estimates for wave equation with a potential on exterior domains

松山 登喜夫  ,  Vladimir  Georgiev

The purpose of the present paper is to establish the local energy decay estimates and dispersive estimates for 3-dimensional wave equation with a potential to the initial-boundary value problem on exterior domains. The geometrical assumptions on domains are rather general, for example non-trapping condition is not imposed in the local energy decay result. As a by-product, Strichartz estimate is obtained too.

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