Uniqueness of the Modified Schrödinger Map inH3/4+ε(ℝ2)

DOI10.1080/03605300600910332zbMath1387.35139OpenAlexW2020096689MaRDI QIDQ3436043

Herbert Koch, Jun Kato

Publication date: 8 May 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300600910332

zbMATH Keywords

uniquenessSchrödinger map

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Schrödinger operator, Schrödinger equation (35J10) Harmonic maps, etc. (58E20)

Related Items

Energy solution to the Chern-Simons-Schrödinger equations, A Regularity Criterion for the Schrödinger Map, Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces, Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\), Asymptotic stability of harmonic maps under the Schrödinger flow, Long range scattering for the modified Schrödinger map in two space dimensions, Regularity criteria for hyperbolic Navier-Stokes and related system, Blow-Up Solutions of Modified Schrödinger Maps, Global Results for Schrödinger Maps in Dimensionsn ≥ 3, Near soliton evolution for equivariant Schroedinger Maps in two spatial dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Local Schrödinger flow into Kähler manifolds
• On the continuous limit for a system of classical spins
• Gain of regularity for semilinear Schrödinger equations
• Global regularity of wave maps from \(\mathbb{R}^{2+1}\) to \(H^{2}\). Small energy
• The wave maps equation
• Schrödinger maps
• On Schrödinger maps
• LAGRANGIAN FORMULATION, ENERGY ESTIMATES, AND THE SCHRÖDINGER MAP PROBLEM
• The Cauchy problem for the hyperbolic–elliptic Ishimori system and Schrödinger maps
• Global regularity of wave maps. II: Small energy in two dimensions