On the Well-Posedness of a Class of Vector Schrödinger Equations

DOI10.1515/ans-2011-0303zbMath1225.35184OpenAlexW2615300514MaRDI QIDQ3092694

Sara Barile, Marco Squassina

Publication date: 20 September 2011

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2011-0303

zbMATH Keywords

local existenceglobal existencenonlinear Schrödinger systemsnonlocal nonlinearities

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Classification of positive solitary solutions of the nonlinear Choquard equation
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Soliton dynamics for CNLS systems with potentials
• The Choquard equation and related questions