Asymptotics for a class of coupled fourth-order Schrödinger equations
From MaRDI portal
Publication:723818
DOI10.1007/s00009-018-1153-5zbMath1394.35474OpenAlexW2802134133MaRDI QIDQ723818
Publication date: 24 July 2018
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-018-1153-5
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items
Global existence and blow-up of solutions for coupled bi-harmonic nonlinear wave equations ⋮ Global and non-global solutions for a class of damped fourth-order Schrödinger equations ⋮ Asymptotics for a class of bi-harmonic coupled Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions \(d\geqslant 9\)
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Positive solutions for a weakly coupled nonlinear Schrödinger system
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Bound states for a coupled Schrödinger system
- Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
- Multiple bound states of nonlinear Schrödinger systems
- A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
- Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
- Symétrie et compacité dans les espaces de Sobolev
- Saddle points and instability of nonlinear hyperbolic equations
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
- Bound and ground states of coupled nonlinear Schrödinger equations
- Existence of solutions for a system of coupled nonlinear stationary bi-harmonic Schrödinger equations
- A note on fourth-order nonlinear Schrödinger equation
- Standing wave solutions of the nonlinear Schrödinger equation in \(\mathbb R^N\)
- Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- Remarks on strongly elliptic partial differential equations
- Ground States and Bound States of a Nonlinear Schrödinger System
- Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction
- Standing waves of some coupled nonlinear Schrödinger equations
- On defocusing fourth-order coupled nonlinear Schrodinger equations
