Global Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: high dimensions (Q2039831)

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English	Global Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: high dimensions	scientific article

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instance of

scholarly article

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title

Global Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: high dimensions (English)

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zbMATH Open document ID

1472.35326

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DOI

10.1016/j.jfa.2021.109093

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author

Ze Li

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published in

Journal of Functional Analysis

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publication date

5 July 2021

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full work available at URL

https://arxiv.org/abs/1903.05551

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Mathematics Subject Classification ID

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Schrödinger map flow

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critical Sobolev space

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global regularity

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general targets

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MaRDI profile type

MaRDI publication profile

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Global existence and uniqueness of Schrödinger maps in dimensions $d\geq 4$

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Global Schrödinger maps in dimensions $d\geq 2$: small data in the critical Sobolev spaces

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Equivariant Schrödinger maps in two spatial dimensions

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

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Schrödinger maps

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Local Schrödinger flow into Kähler manifolds

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A controlling norm for energy-critical Schrödinger maps

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Nilpotent energies in liquid crystal theory

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The Kato-Ponce Inequality

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Asymptotic stability of harmonic maps under the Schrödinger flow

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Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on $\mathbb R^2$

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Low-regularity Schrödinger maps.

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Low-regularity Schrödinger maps. II: Global well-posedness in dimensions $d \geq 3$

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Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations

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Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps

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Global regularity of wave maps from $\mathbb{R}^{2+1}$ to $H^{2}$. Small energy

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Q5759616

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The Cauchy Problem for Wave Maps on Hyperbolic Space in Dimensions $d\geq 4$

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On the Davey-Stewartson systems

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An Approximation Scheme for Schrödinger Maps

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Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem

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On Schrödinger maps

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On the well-posedness of the wave map problem in high dimensions

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Finite energy global well-posedness of the Yang-Mills equations on $\mathbb{R}^{1+3}$: an approach using the Yang-Mills heat flow

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Blow up dynamics for equivariant critical Schrödinger maps

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On the global well-posedness of the one-dimensional Schrödinger map flow

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Q4376386

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Geometric Renormalization Below the Ground State

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Conditional global regularity of Schrödinger maps: Subthreshold dispersed energy

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On the evolution of harmonic maps in higher dimensions

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On the continuous limit for a system of classical spins

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Q4671476

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Global regularity of wave maps. II: Small energy in two dimensions

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On global existence and scattering for the wave maps equation

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Rough solutions for the wave maps equation

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Mathematics(1 entry)

mardi Publication:2039831