MODIFIED WAVE OPERATORS FOR NONLINEAR SCHRÖDINGER EQUATIONS IN LOWER ORDER SOBOLEV SPACES
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Publication:2891098
DOI10.1142/S0219891611002561zbMath1291.35348OpenAlexW2122594981MaRDI QIDQ2891098
Huimei Wang, Pavel I. Naumkin, Nakao Hayashi
Publication date: 13 June 2012
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219891611002561
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (6)
Long Range Scattering for Nonlinear Schrödinger Equations with Critical Homogeneous Nonlinearity ⋮ Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials ⋮ Long-range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions ⋮ Asymptotic behavior for nonlinear Schrödinger equations with critical time-decaying harmonic potential ⋮ Final state problem for nonlinear Schrödinger equations with time-decaying harmonic oscillators ⋮ Final state problem for the nonlocal nonlinear Schrödinger equation with dissipative nonlinearity
Cites Work
- Domain and range of the modified wave operator for Schrödinger equations with a critical nonlinearity
- Existence of solutions for Schrödinger evolution equations
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\)
- Remarks on scattering for nonlinear Schrödinger equations
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- WAVE OPERATORS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH A NONLINEARITY OF LOW DEGREE IN ONE OR TWO SPACE DIMENSIONS
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