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Abstract The purpose of this note is to prove dispersive estimates for the wave and the Schrodinger equations outside strictly convex obstacles in R d . If d = 3… Click to show full abstract
Abstract The purpose of this note is to prove dispersive estimates for the wave and the Schrodinger equations outside strictly convex obstacles in R d . If d = 3 , we show that, for both equations, the linear flow satisfies the (corresponding) dispersive estimates as in R 3 . In higher dimensions d ≥ 4 and if the domain is the exterior of a ball in R d , we show that losses in dispersion do appear and this happens at the Poisson spot.
Keywords:
strictly convex;
equations outside;
dispersion wave;
convex obstacles;
outside strictly
Journal Title: Comptes Rendus Mathematique
Year Published: 2017
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Journal Title: Comptes Rendus Mathematique
Year Published: 2017
Link to full text (if available)
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recommendations!