Scattering below the ground state for the 2D non-linear Schrödinger and Klein–Gordon equations revisited
From MaRDI portal
Publication:5140987
DOI10.1063/5.0014195zbMath1454.35341arXiv1906.01804OpenAlexW3071354802MaRDI QIDQ5140987
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.01804
Scattering theory for PDEs (35P25) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) (2)-body potential quantum scattering theory (81U05) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Scattering for a critical nonlinear wave equation in two space dimensions
- Blowup and scattering problems for the nonlinear Schrödinger equations
- Global well-posedness and scattering for the defocusing, \(L^2\)-critical, nonlinear Schrödinger equation when \(d=2\)
- Scattering and blow-up for the focusing nonlinear Klein-Gordon equation with complex-valued data
- Scattering for the two-dimensional energy-critical wave equation
- Scattering for the focusing energy-subcritical nonlinear Schrödinger equation
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state
- The cubic nonlinear Schrödinger equation in two dimensions with radial data
- Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
- Nonlinear Schrödinger equations in the Sobolev space of critical order
- Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth
- The Cauchy problem for nonlinear wave equations in the Sobolev space of critical order
- Scattering for the 3D Gross-Pitaevskii equation
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- Scattering threshold for the focusing nonlinear Klein-Gordon equation
- Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
- Scattering for the critical 2-D NLS with exponential growth.
- A new proof of scattering below the ground state for the non-radial focusing NLS
- Energy scattering theory for the nonlinear Schrödinger equations with exponential growth in lower spatial dimensions
- Ill-posedness of \(H^1\)-supercritical waves
- Scattering for the two-dimensional NLS with exponential nonlinearity
- Global Behavior of Finite Energy Solutions to the d-Dimensional Focusing Nonlinear Schrodinger Equation
- Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity
- Double logarithmic inequality with a sharp constant
- ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS
- Endpoint Strichartz estimates
- Scattering below the ground state for the 2$d$ radial nonlinear Schrödinger equation
- A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
- Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations
This page was built for publication: Scattering below the ground state for the 2D non-linear Schrödinger and Klein–Gordon equations revisited