English

Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds

Mathematical Physics 2007-05-23 v1 Analysis of PDEs math.MP

Abstract

We consider the NLS on Schwarzschild manifold.For radial solutions with sufficiently localized initial data,global existence,L^p estimates and asymptotic completeness of the wave operators is proved

Keywords

Cite

@article{arxiv.math-ph/0002030,
  title  = {Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds},
  author = {I. Laba and A. Soffer},
  journal= {arXiv preprint arXiv:math-ph/0002030},
  year   = {2007}
}

Comments

21 pages