Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target

DOI10.1215/21562261-3478889zbMath1370.35235arXiv1212.2566OpenAlexW3103272239MaRDI QIDQ294144

Carlos E. Kenig, Daniel Tataru, Ioan Bejenaru, Alexandru D. Ionescu

Publication date: 9 June 2016

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2566

zbMATH Keywords

scatteringglobal well-posednessequivariantlarge dataSchrödinger maps

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Convergence to harmonic maps for the Landau-Lifshitz flows between two dimensional hyperbolic spaces, On global dynamics of Schrödinger map flows on hyperbolic planes near harmonic maps, Finite time blowup of multidimensional inhomogeneous isotropic Landau-Lifshitz equation on a hyperbolic space, Asymptotic behaviors of Landau-Lifshitz flows from \(\mathbb {R}^2\) to Kähler manifolds, Equivariant Schrödinger map flow on two dimensional hyperbolic space, A controlling norm for energy-critical Schrödinger maps, Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution, Global Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: energy critical case, Global Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: high dimensions

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