STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
- 7 January 2002
- journal article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 27 (7-8) , 1337-1372
Abstract
We prove Strichartz type estimates for the Schrödinger equation corresponding to a second order elliptic operator with variable coefficients. We assume that the coefficients are a C 2 compactly sup...Keywords
This publication has 14 references indexed in Scilit:
- Rough solutions of the Einstein vacuum equationsComptes Rendus Mathematique, 2002
- Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients, IIAmerican Journal of Mathematics, 2001
- Maximal Functions Associated to FiltrationsJournal of Functional Analysis, 2001
- Newton polygons as lattice pointsAmerican Journal of Mathematics, 2000
- Global strichartz estimates for nonthapping perturbations of the laplacianCommunications in Partial Differential Equations, 2000
- Équations d'ondes quasilinéaires et estimations de StrichartzAmerican Journal of Mathematics, 1999
- Endpoint Strichartz estimatesAmerican Journal of Mathematics, 1998
- A parametrix construction for wave equations with coefficientsAnnales de l'institut Fourier, 1998
- Remarks on the cauchy problem for schrödinger-type equationsCommunications in Partial Differential Equations, 1996
- Microlocal dispersive smoothing for the Schrödinger equationCommunications on Pure and Applied Mathematics, 1995