Instability of bound states of nonlinear Schrödinger equations with Morse index equal to two

DOI10.1016/J.NA.2009.10.010zbMath1180.35484OpenAlexW2092937761MaRDI QIDQ2654033

Masaya Maeda

Publication date: 15 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/142349

zbMATH Keywords

nonlinear Schrödinger equationbound statesorbital stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (11)

Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method ⋮ On a system of nonlinear Schrödinger equations with quadratic interaction and L2-critical growth ⋮ Standing waves of coupled Schrödinger equations with quadratic interactions from Raman amplification in a plasma ⋮ Plane wave stability analysis of Hartree and quantum dissipative systems ⋮ Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations ⋮ Stability of bound states of Hamiltonian PDEs in the degenerate cases ⋮ Solitary waves for coupled nonlinear elliptic system with nonhomogeneous nonlinearities ⋮ Instability of bound states for abstract nonlinear Schrödinger equations ⋮ Ground states for a system of nonlinear Schrödinger equations with three wave interaction ⋮ Normalized solutions for coupled Schrödinger system with nonhomogeneous nonlinearity ⋮ On the standing waves for nonlinear Hartree equation with confining potential

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials
• Stability theory of solitary waves in the presence of symmetry. II
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Stability theory of solitary waves in the presence of symmetry. I
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Stability of standing waves for nonlinear Schrödinger equations with potentials
• On the number of single-peak solutions of the nonlinear Schrödinger equation.
• Instability of Standing Waves for a System of Nonlinear Schroedinger Equations with Three-Wave Interaction
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations
• Linearized instability for nonlinear schrödinger and klein-gordon equations
• A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas

This page was built for publication: Instability of bound states of nonlinear Schrödinger equations with Morse index equal to two