Global regularity of wave maps from \(\mathbb{R}^{3+1}\) to surfaces
From MaRDI portal
Publication:1416904
DOI10.1007/s00220-003-0836-2zbMath1046.58010arXivmath/0203143OpenAlexW39285446MaRDI QIDQ1416904
Publication date: 16 December 2003
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0203143
Smoothness and regularity of solutions to PDEs (35B65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Hyperbolic equations on manifolds (58J45)
Related Items (23)
The cubic Dirac equation: small initial data in \({H^{\frac{1}{2}}(\mathbb R^2)}\) ⋮ Concentration compactness for critical radial wave maps ⋮ Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium ⋮ A class of large global solutions for the wave-map equation ⋮ Optimal blowup stability for supercritical wave maps ⋮ Asymptotic stability of large energy harmonic maps under the wave map from 2D hyperbolic spaces to 2D hyperbolic spaces ⋮ The wave maps equation and Brownian paths ⋮ On stable self-similar blow up for equivariant wave maps: the linearized problem ⋮ Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces ⋮ Global well-posedness for half-wave maps with \(S^2\) and \(\mathbb{H}^2\) targets for small smooth initial data ⋮ On stable self-similar blowup for equivariant wave maps ⋮ The Cauchy problem for wave maps on a curved background ⋮ The cubic Dirac equation: small initial data in \(H^1(\mathbb R^3)\) ⋮ On blowup of co-rotational wave maps in odd space dimensions ⋮ Energy dispersed large data wave maps in \(2+1\) dimensions ⋮ Renormalization and blow-up for wave maps from 𝑆²×ℝ to 𝕊² ⋮ The wave maps equation ⋮ Almost optimal local well-posedness for the (3+1)-dimensional Maxwell–Klein–Gordon equations ⋮ LONG TIME SOLUTIONS FOR WAVE MAPS WITH LARGE DATA ⋮ Global regularity of wave maps from \(\mathbb{R}^{2+1}\) to \(H^{2}\). Small energy ⋮ Cauchy problems of the gauged sigma model ⋮ Absence of self-similar blow-up and local well-posedness for the constant mean-curvature wave equation ⋮ Stability of stationary wave maps from a curved background to a sphere
This page was built for publication: Global regularity of wave maps from \(\mathbb{R}^{3+1}\) to surfaces