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Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential |
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| Authors: | Nicolas Burq |
| Affiliation: | a Département de Mathématiques, Batiment 425, Université Paris-Sud, F-91405 Orsay, Cedex, France b Laboratoire Analyse, Géométrie & Applications, UMR 7539, Institut Galilée, Université Paris 13, 99 avenue J.B. Clément, F-93430 Villetaneuse, France c Department of Mathematics, Princeton University, Princeton, NJ 08544, USA d Department of Mathematics Hill Center, Rutgers, The State University of New Jersey, Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA |
| Abstract: | We prove spacetime weighted-L2 estimates for the Schrödinger and wave equation with an inverse-square potential. We then deduce Strichartz estimates for these equations. |
| Keywords: | Inverse-square potential Wave equation Schrö dinger equation Strichartz estimate Morawetz estimate Smoothing estimate |
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