Structural Resolvent Estimates and Derivative Nonlinear Schrödinger Equations

@article{Ruzhansky2012StructuralRE,
  title={Structural Resolvent Estimates and Derivative Nonlinear Schr{\"o}dinger Equations},
  author={M. Ruzhansky and Mitsuru Sugimoto},
  journal={Communications in Mathematical Physics},
  year={2012},
  volume={314},
  pages={281-304}
}
  • M. Ruzhansky, Mitsuru Sugimoto
  • Published 2012
  • Mathematics
  • Communications in Mathematical Physics
  • A refinement of a uniform resolvent estimate is given and several smoothing estimates for Schrödinger equations in the critical case are induced from it. The relation between this resolvent estimate and a radiation condition is discussed. As an application of critical smoothing estimates, we show a global existence result for derivative nonlinear Schrödinger equations. 
    Global-in-time smoothing effects for Schrödinger equations with inverse-square potentials
    • 1
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    Spectral identities and smoothing estimates for evolution operators.
    GLOBAL REGULARITY PROPERTIES FOR A CLASS OF FOURIER INTEGRAL OPERATORS
    • 1
    • PDF
    Resolvent Estimates and Smoothing for Homogeneous Operators on Graded Lie Groups

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