Scattering for the nonlinear Schrödinger equation with a general one-dimensional confinement
DOI10.1063/1.4932604zbMath1328.35207arXiv1502.00994OpenAlexW2103232761MaRDI QIDQ3450531
Publication date: 6 November 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.00994
Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) (S)-matrix theory, etc. in quantum theory (81U20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials. II: Superquadratic potentials
- Well-posedness and scattering for nonlinear Schrödinger equations on \(\mathbb{R}^d \times \mathbb{T}\) in the energy space
- Scattering theory in the energy space for a class of nonlinear Schrödinger equations
- Time averaging for the strongly confined nonlinear Schrödinger equation, using almost-periodicity
- On the decay of solutions to a class of defocusing NLS
- Rapidly decaying solutions of the nonlinear Schrödinger equation
- Decay and scattering of solutions of a nonlinear Schrödinger equation
- On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
- Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity
- Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
- Scattering for nonlinear Schrödinger equation under partial harmonic confinement
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- The nonlinear Schrödinger equation ground states on product spaces
- Asymptotic Behavior of the Nonlinear Schrödinger Equation with Harmonic Trapping
- MODIFIED SCATTERING FOR THE CUBIC SCHRÖDINGER EQUATION ON PRODUCT SPACES AND APPLICATIONS
- Inhomogeneous Strichartz estimates for the Schrödinger equation
- Bilinear virial identities and applications
- Nonlinear Schrödinger Equations with Repulsive Harmonic Potential and Applications
- INHOMOGENEOUS STRICHARTZ ESTIMATES
- Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schrödinger and Hartree equations
- Small Data Scattering for the Nonlinear Schrödinger Equation on Product Spaces
- Smoothing property for Schrödinger equations with potential superquadratic at infinity.
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