Journal article
Global wellposedness and scattering for 3D energy critical Schrodinger equation with repulsive potential and radial data
Forum mathematicum, Vol.19(4), pp.633-675
01/01/2007
DOI: 10.1515/FORUM.2007.025
Abstract
In this paper, we show that the Cauchy problem of the 3D nonlinear Schr6dinger equation with repulsive potential is globally wellposed if the initial data u(0) is spherically symmetric and u(0) is an element of Sigma = {f, f is an element of H-1, xf is an element of L-2}. We also prove that the scattering operator is holomorphic from the radial functions in I to themselves. In order to preclude the possible energy concentration, we first show the energy concentration may occur only at finite time by using the decay estimate of potential energy parallel to u(t)parallel to(6), then we preclude the possible finite time energy concentration by inductive arguments.
Details
- Title: Subtitle
- Global wellposedness and scattering for 3D energy critical Schrodinger equation with repulsive potential and radial data
- Creators
- Xiaoyi Zhang - Mathematics
- Resource Type
- Journal article
- Publication Details
- Forum mathematicum, Vol.19(4), pp.633-675
- Publisher
- WALTER DE GRUYTER GMBH
- DOI
- 10.1515/FORUM.2007.025
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- Number of pages
- 43
- Language
- English
- Date published
- 01/01/2007
- Academic Unit
- Mathematics
- Record Identifier
- 9984240875402771
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