Global well posedness and scattering for a class of nonlinear Schrödinger equations below the energy space.

zbMath1240.35525arXivmath/0606611MaRDI QIDQ636975

Monica Visan, Xiaoyi Zhang

Publication date: 1 September 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606611

zbMATH Keywords

nonlinear Schrödinger equationglobal well-posednessscattering power-type nonlinearity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (8)

Introduction to scattering for radial 3D NLKG below energy norm ⋮ Global existence for semilinear Schrödinger equations in \(2+1\) dimensions ⋮ Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schrödinger and Hartree equations ⋮ Global well-posedness for the fifth-order mKdV equation ⋮ The Cauchy problem for the Schrödinger-KdV system ⋮ Global existence and scattering for a class of nonlinear fourth-order Schrödinger equation below the energy space ⋮ Tensor products and correlation estimates with applications to nonlinear Schrödinger equations ⋮ Scattering theory below energy for the cubic fourth-order Schrödinger equation

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