Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion
From MaRDI portal
Publication:1633129
DOI10.3934/dcds.2019009zbMath1406.35369arXiv1710.11362OpenAlexW2963602921MaRDI QIDQ1633129
Jun-Ichi Segata, Jean Claude Saut
Publication date: 19 December 2018
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.11362
Asymptotic behavior of solutions to PDEs (35B40) Diffraction, scattering (78A45) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items (7)
The global solution of anisotropic fourth-order Schrödinger equation ⋮ THE GLOBAL CAUCHY PROBLEM FOR THE NLS WITH HIGHER ORDER ANISOTROPIC DISPERSION ⋮ Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions ⋮ Long range scattering for the nonlinear Schrödinger equation with higher order anisotropic dispersion in two dimensions ⋮ Long-time behavior of solutions to a fourth-order nonlinear Schrödinger equation with critical nonlinearity ⋮ Stochastic Schrödinger equation with Dirichlet noise boundary conditions ⋮ Modified scattering for the higher-order anisotropic nonlinear Schrödinger equation in two space dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well-posedness and scattering for fourth order nonlinear Schrödinger type equations at the scaling critical regularity
- Large time asymptotics for the fourth-order nonlinear Schrödinger equation
- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions \(d\geqslant 9\)
- Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case
- The focusing energy-critical fourth-order Schrödinger equation with radial data
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Well-posedness of Cauchy problem for the fourth order nonlinear Schrödinger equations in multi-dimensional spaces
- Domain and range of the modified wave operator for Schrödinger equations with a critical nonlinearity
- Factorization technique for the fourth-order nonlinear Schrödinger equation
- Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
- Asymptotic properties of solutions to dispersive equation of Schrödinger type
- Remarks on NLS with higher order anisotropic dispersion
- On the decay of solutions to a class of defocusing NLS
- The cubic fourth-order Schrödinger equation
- Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
- Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case
- The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
- Global existence of small solutions for the fourth-order nonlinear Schrödinger equation
- Scattering theory for the defocusing fourth-order Schrödinger equation
- Scattering of solutions to the fourth-order nonlinear Schrödinger equation
- Scattering theory for the fourth-order Schrödinger equation in low dimensions
- Self-Focusing with Fourth-Order Dispersion
- On the inhomogeneous fourth-order nonlinear Schrödinger equation
- Endpoint Strichartz estimates
- Critical exponents and collapse of nonlinear Schr dinger equations with anisotropic fourth-order dispersion
- Dispersion estimates for fourth order Schrödinger equations
- Blowup for Biharmonic NLS
This page was built for publication: Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion
