Global Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: high dimensions
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Publication:2039831
DOI10.1016/j.jfa.2021.109093zbMath1472.35326arXiv1903.05551OpenAlexW3159058705MaRDI QIDQ2039831
Publication date: 5 July 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.05551
Smoothness and regularity of solutions to PDEs (35B65) Compact Kähler manifolds: generalizations, classification (32J27) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs on manifolds (35R01)
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Cites Work
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- Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target
- Equivariant Schrödinger maps in two spatial dimensions
- Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem
- Conditional global regularity of Schrödinger maps: Subthreshold dispersed energy
- Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps
- Low-regularity Schrödinger maps.
- Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces
- Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\)
- On the global well-posedness of the one-dimensional Schrödinger map flow
- Asymptotic stability of harmonic maps under the Schrödinger flow
- On the evolution of harmonic maps in higher dimensions
- Nilpotent energies in liquid crystal theory
- Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations
- On the Davey-Stewartson systems
- Local Schrödinger flow into Kähler manifolds
- On the continuous limit for a system of classical spins
- Finite energy global well-posedness of the Yang-Mills equations on \(\mathbb{R}^{1+3}\): an approach using the Yang-Mills heat flow
- Global existence and uniqueness of Schrödinger maps in dimensions \(d\geq 4\)
- On the well-posedness of the wave map problem in high dimensions
- Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\)
- Blow up dynamics for equivariant critical Schrödinger maps
- Global regularity of wave maps from \(\mathbb{R}^{2+1}\) to \(H^{2}\). Small energy
- On global existence and scattering for the wave maps equation
- The Kato-Ponce Inequality
- Geometric Renormalization Below the Ground State
- A controlling norm for energy-critical Schrödinger maps
- An Approximation Scheme for Schrödinger Maps
- On Schrödinger maps
- Schrödinger maps
- The Cauchy Problem for Wave Maps on Hyperbolic Space in Dimensions $d\geq 4$
- Rough solutions for the wave maps equation
- On Schrödinger maps
- Global regularity of wave maps. II: Small energy in two dimensions
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