Weak solutions of geometric flows associated to integro-differential harmonic maps

2015/12/28 by Armin Schikorra, Yannick Sire, Changyou Wang
Mathematics · #Advanced Mathematical Physics Problems #Algebraic geometry #Combinatorics #Differential (mechanical device) #Differential geometry #Flow (mathematics) #Geometric Analysis and Curvature Flows #Geometry #Harmonic #Harmonic map #Homogeneous #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Number theory #Physics #Pure mathematics #SPHERES #Spherical harmonics #math.AP

paper · pdf · doi:10.1007/s00229-016-0899-y

arxiv created 2015/12/28 · openalex created_date 2016/06/24 · openalex publication_date 2016/11/07 · arxiv updated 2016/11/08 · openalex updated_date 2026/08/05

Abstract

The purpose of this note is to prove the existence of global weak solutions to the flow associated to integro-differential harmonic maps into spheres and Riemannian homogeneous manifolds.

Citations

• Weak solutions and development of singularities of the SU(2) σ‐model
• Integro-Differential Harmonic Maps into Spheres
• Regularity of n/2-harmonic maps into spheres
• The Analysis of Harmonic Maps and their Heat Flows