The Cauchy problem for the hyperbolic–elliptic Ishimori system and Schrödinger maps

DOI10.1088/0951-7715/18/5/007zbMath1213.35358OpenAlexW1976514775MaRDI QIDQ5704340

Carlos E. Kenig, Andrea R. Nahmod

Publication date: 14 November 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/18/5/007

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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)

Related Items (17)

Global existence and uniqueness of Schrödinger maps in dimensions \(d\geq 4\) ⋮ Strichartz estimates for the magnetic Schrödinger equation ⋮ Energy solution to the Chern-Simons-Schrödinger equations ⋮ A Regularity Criterion for the Schrödinger Map ⋮ Local well-posedness for hyperbolic-elliptic Ishimori equation ⋮ On the stability of certain spin models in \(2+1\) dimensions ⋮ Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces ⋮ Schrödinger soliton from Lorentzian manifolds ⋮ Global well-posedness for the KP-I equation on the background of a non-localized solution ⋮ Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\) ⋮ Long range scattering for the modified Schrödinger map in two space dimensions ⋮ Regularity criteria for hyperbolic Navier-Stokes and related system ⋮ IST Versus PDE: A Comparative Study ⋮ 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 ⋮ Uniqueness of the Modified Schrödinger Map inH^3/4+ε(ℝ²)

This page was built for publication: The Cauchy problem for the hyperbolic–elliptic Ishimori system and Schrödinger maps