Corpus ID: 15830842

Decay estimates for the Schroedinger evolution on asymptotically conic surfaces of revolution I

@article{Schlag2006DecayEF,
  title={Decay estimates for the Schroedinger evolution on asymptotically conic surfaces of revolution I},
  author={W. Schlag and A. Soffer and W. Staubach},
  journal={arXiv: Analysis of PDEs},
  year={2006}
}
  • W. Schlag, A. Soffer, W. Staubach
  • Published 2006
  • Mathematics, Physics
  • arXiv: Analysis of PDEs
  • We establish a dispersive estimate (with a decay of 1/t), valid for all times, for the Schroedinger evolution on a non-compact 2-dimensional manifold with a trapped geodesic. 

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 22 REFERENCES
    Dispersive Estimates for Schrödinger Operators in Dimension Two
    88
    STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
    184
    Global strichartz estimates for nonthapping perturbations of the laplacian
    189
    Parametrices and dispersive estimates for Schrödinger operators with variable coefficients
    56
    Dispersive Estimates for Schrödinger Operators in Dimensions One and Three
    190
    Strichartz Estimates for Schr\"odinger Equations with Variable Coefficients
    27
    Microlocal dispersive smoothing for the Schrödinger equation
    125
    Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds
    348