Evolution equations with a free boundary condition

DOI10.1007/BF02921640zbMath0947.58018MaRDI QIDQ1307110

Yunmei Chen, Fang-Hua Lin

Publication date: 23 October 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

harmonic map flowfree boundary condition

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Regularity for parabolic systems with critical growth in the gradient and applications ⋮ Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary ⋮ The qualitative behavior at the free boundary for approximate harmonic maps from surfaces ⋮ Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps ⋮ Singularity formation in the harmonic map flow with free boundary ⋮ Nematic liquid crystal flow with partially free boundary ⋮ Harmonic maps in connection of phase transitions with higher dimensional potential wells

Cites Work

• The evolution of harmonic mappings with free boundaries
• Existence and partial regularity results for the heat flow for harmonic maps
• Harmonic maps of manifolds with boundary
• A remark on \(H^ 1\) mappings
• Harmonic mappings with partially free boundary
• Partially constrained boundary conditions with energy minimizing mappings
• An optimal estimate for the singular set of a harmonic map in the free boundary.
• Harmonic Mappings of Riemannian Manifolds
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