On energy stability for the coupled nonlinear wave and Schrödinger systems

DOI10.1016/j.na.2010.02.032zbMath1189.35025OpenAlexW1973191993MaRDI QIDQ972407

Haihong Liu, Li Ma

Publication date: 25 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.na.2010.02.032

zbMATH Keywords

distributional solutionscoercive polynomial nonlinearities

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Unnamed Item
• On energy stability for the coupled nonlinear Schrödinger system
• Stability for the time-dependent Hartree equation with positive energy
• Global existence for systems of nonlinear wave equations in two space dimensions. II
• Uniqueness for critical nonlinear wave equations and wave maps via the energy inequality
• Special set and solutions of coupled nonlinear schr dinger equations
• On uniqueness and stability for supercritical nonlinear wave and Schrodinger equations
• Periodic solutions for a system of four coupled nonlinear Schrödinger equations