A Strichartz Inequality for the Schrödinger Equation on Nontrapping Asymptotically Conic Manifolds
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Publication:4678919
DOI10.1081/PDE-200044482zbMath1068.35119arXivmath/0312225OpenAlexW1969719830MaRDI QIDQ4678919
Andrew Hassell, Jared Wunsch, Terence C. Tao
Publication date: 23 May 2005
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0312225
Schrödinger equationStrichartz estimatesinteraction Morawetz inequalityasymptotically conic Riemannian manifold
NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Propagation of singularities; initial value problems on manifolds (58J47)
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Cites Work
- On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation
- Regularity of solutions to the Schrödinger equation
- Closed geodesics on non-compact Riemannian manifolds
- Decay and scattering of solutions of a nonlinear Schrödinger equation
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Recovering asymptotics of metrics from fixed energy scattering data
- A smoothing property of Schrödinger equations along the sphere
- Smoothing effects of Schrödinger evolution groups on Riemannian manifolds
- STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Endpoint Strichartz estimates
- Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
- Microlocal dispersive smoothing for the Schrödinger equation
- Time decay for the nonlinear Klein-Gordon equation
- Riemannian geometry and geometric analysis