Harmonic map heat flow with rough boundary data

DOI10.1090/S0002-9947-2012-05473-0zbMath1281.58011arXiv1010.3313OpenAlexW2083474611MaRDI QIDQ2841402

Lu Wang

Publication date: 25 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3313

zbMATH Keywords

harmonic map heat flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Harmonic maps, etc. (58E20)

Related Items

Exponential convergence rate of the harmonic heat flow ⋮ Energy convexity of intrinsic bi-harmonic maps and applications. I: Spherical target ⋮ Nonuniqueness of nematic liquid crystal flows in dimension three ⋮ Uniqueness of Dirac-harmonic maps from a compact surface with boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Width and mean curvature flow
• Width and finite extinction time of Ricci flow
• On the evolution of harmonic mappings of Riemannian surfaces
• Harmonic maps of manifolds with boundary
• Heat flow and boundary value problem for harmonic maps
• Uniqueness for the harmonic map flow in two dimensions
• Nonuniqueness for the heat flow of harmonic maps on the disk
• Elliptic partial differential equations of second order
• Uniqueness for the harmonic map flow from surfaces to general targets
• Correction to ``Uniqueness for the harmonic map flow from surfaces to general targets