Global Well-posedness and Scattering for Defocusing Energy-critical Nls in the Exterior of Balls with Radial Data
نویسندگان
چکیده
We consider the defocusing energy-critical NLS in the exterior of the unit ball in three dimensions. For the initial value problem with Dirichlet boundary condition we prove global well-posedness and scattering with large radial initial data in the Sobolev space Ḣ1 0 . We also point out that the same strategy can be used to treat the energy-supercritical NLS in the exterior of balls with Dirichlet boundary condition and radial Ḣ1 0 initial data.
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