Global Results for Schrödinger Maps in Dimensionsn ≥ 3

DOI10.1080/03605300801895225zbMath1148.35083arXivmath/0605315OpenAlexW2030026346MaRDI QIDQ5459786

Ioan Bejenaru

Publication date: 29 April 2008

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

Full work available at URL: https://arxiv.org/abs/math/0605315

zbMATH Keywords

well-posednesssmall dataSchrödinger maps

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Harmonic analysis in several variables (42B99)

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Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target, Self-similar solutions for the Schrödinger map equation, Equivariant Schrödinger map flow on two dimensional hyperbolic space, A controlling norm for energy-critical Schrödinger maps, A Regularity Criterion for the Schrödinger Map, Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution, Very regular solution to Landau-Lifshitz-Gilbert system with spin-polarized transport, Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in \(\mathbb{R}^3\) into \(\mathbb{S}^2\), Local well-posedness for hyperbolic-elliptic Ishimori equation, Smooth local solutions to Schrödinger flows with damping term for maps into symplectic manifolds, Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces, Global existence and blow-up solutions of the radial Schrödinger maps, Regularity criteria for hyperbolic Navier-Stokes and related system, On the nonlinear Dysthe equation, Local nonautonomous Schrödinger flows on Kähler manifolds, Local existence and uniqueness of Navier-Stokes-Schrödinger system, The inviscid limit for the Landau-Lifshitz-Gilbert equation in the critical Besov space, Near soliton evolution for equivariant Schroedinger Maps in two spatial dimensions

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