Scattering solutions to nonlinear Schrödinger equation with a long range potential
DOI10.1016/j.jmaa.2023.127468zbMath1529.35468arXiv2104.13577OpenAlexW3157721986MaRDI QIDQ6115642
Publication date: 10 August 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.13577
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Blowup and scattering problems for the nonlinear Schrödinger equations
- Scattering theory for nonlinear Schrödinger equations with inverse-square potential
- Scattering for the focusing energy-subcritical nonlinear Schrödinger equation
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Scattering for the nonradial 3D cubic nonlinear Schrödinger equation
- Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
- Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
- Scattering in \(H^{1}\) for the intercritical NLS with an inverse-square potential
- Scattering threshold for the focusing nonlinear Klein-Gordon equation
- On nonlinear Schrödinger equations with repulsive inverse-power potentials
- A nonlinear Schrödinger equation with Coulomb potential
- Strichartz estimates for Schrödinger equations with slowly decaying potentials
- Dynamics of the focusing 3D cubic NLS with slowly decaying potential
- The focusing cubic NLS with inverse-square potential in three space dimensions.
- Global existence and blowup for a class of the focusing nonlinear Schrödinger equation with inverse-square potential
- A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
- Description of the lack of compactness for the Sobolev imbedding
- Focusing NLS with inverse square potential
- Characterization of the Ground State to the Intercritical NLS with a Linear Potential by the Virial Functional
- Global well-posedness below the ground state for the nonlinear Schrödinger equation with a linear potential
- On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential
- Wave operators on Sobolev spaces
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
- Equivalence of conditions on initial data below the ground state to NLS with a repulsive inverse power potential
This page was built for publication: Scattering solutions to nonlinear Schrödinger equation with a long range potential