Small data global regularity for half-wave maps

DOI10.2140/apde.2018.11.661zbMath1380.35119arXiv1610.01216OpenAlexW2964140039MaRDI QIDQ1686232

Yannick Sire, Joachim Krieger

Publication date: 21 December 2017

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01216

zbMATH Keywords

Besov spaceshigh spatial dimensionsfractional wave mapssmall critical data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)

Related Items (5)

On energy-critical half-wave maps into \(\mathbb {S}^2\) ⋮ On uniqueness for half-wave maps in dimension 𝑑≥3 ⋮ Global well-posedness for half-wave maps with \(S^2\) and \(\mathbb{H}^2\) targets for small smooth initial data ⋮ Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces ⋮ Small data global regularity for half-wave maps in n = 4 dimensions

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• Global Regularity for General Non-Linear Wave Equations I. (6 + 1) and Higher Dimensions
• Local and global results for wave maps I
• Integrability of Calogero-Moser Spin System
• Global regularity of wave maps. II: Small energy in two dimensions

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