Global wellposedness and scattering for 3D energy critical Schrödinger equation with repulsive potential and radial data

DOI10.1515/FORUM.2007.025zbMath1187.35249MaRDI QIDQ5421642

Xiaoyi Zhang

Publication date: 24 October 2007

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

scatteringglobal wellposednessenergy-critical nonlinear Schrödinger equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum scattering theory (81U99)

Related Items (2)

Energy-critical Hartree equation with harmonic potential for radial data ⋮ Energy-Critical NLS with Quadratic Potentials

Cites Work

• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• Decay and scattering of solutions of a nonlinear Schrödinger equation
• Global existence results for nonlinear Schrödinger equations with quadratic potentials
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Endpoint Strichartz estimates
• Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
• Nonlinear Schrödinger Equations with Repulsive Harmonic Potential and Applications

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