Energy scattering theory for the nonlinear Schrödinger equations with exponential growth in lower spatial dimensions
From MaRDI portal
Publication:2506394
DOI10.1016/j.jde.2006.05.010zbMath1217.35177OpenAlexW2096777181MaRDI QIDQ2506394
Henryk Hudzik, Bao Xiang Wang, Cheng Chun Hao
Publication date: 28 September 2006
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2006.05.010
Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (2)
Energy scattering for Schrödinger equation with exponential nonlinearity in two dimensions ⋮ Scattering below the ground state for the 2D non-linear Schrödinger and Klein–Gordon equations revisited
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scattering theory in the energy space for a class of nonlinear Schrödinger equations
- Decay and scattering of solutions of a nonlinear Schrödinger equation
- Nonlinear Schrödinger equations in the Sobolev space of critical order
- Small solutions to nonlinear Schrödinger equations in the Sobolev spaces
- The smoothness of scattering operators for sinh-Gordon and nonlinear Schrödinger equations
- Nonlinear scattering theory for a class of wave equations in \(H^{s}\)
- On critical cases of Sobolev's inequalities
- Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- Bilinear estimates and applications to 2d NLS
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4
- Endpoint Strichartz estimates
- Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
- The Cauchy problem for Davey-Stewartson systems
- On nonlinear schrödinger equations
- The limit behavior of solutions for the Cauchy problem of the complex Ginzburg‐Landau equation
- CONCENTRATION PHENOMENON FOR THE L2 CRITICAL AND SUPER CRITICAL NONLINEAR SCHRÖDINGER EQUATIONS IN ENERGY SPACES
- Decay and scattering of solutions of a nonlinear relativistic wave equation
- Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations
This page was built for publication: Energy scattering theory for the nonlinear Schrödinger equations with exponential growth in lower spatial dimensions