Well-posedness for the heat flow of polyharmonic maps with rough initial data

DOI10.1515/ACV.2010.025zbMath1227.35152arXiv1001.4488MaRDI QIDQ2999541

Tao Huang, Changyou Wang

Publication date: 13 May 2011

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4488

zbMATH Keywords

global well-posednesslocal well-posednessinitial data with small BMO normspolyharmonic maps into a compact Riemannian manifold

Mathematics Subject Classification ID

Semilinear parabolic equations (35K58) Initial value problems for higher-order parabolic systems (35K46)

Related Items (3)

Stability of self-similar solutions to geometric flows ⋮ Well-posedness and stability for a class of fourth-order nonlinear parabolic equations ⋮ Well-posedness for the heat flow of biharmonic maps with rough initial data

Cites Work

• A regularity result for polyharmonic maps with higher integrability
• On the evolution of harmonic mappings of Riemannian surfaces
• Existence and partial regularity results for the heat flow for harmonic maps
• Blow-up and global existence for heat flows of harmonic maps
• An existence theorem for harmonic mappings of Riemannian manifolds
• Heat flow for extrinsic biharmonic maps with small initial energy
• Biharmonic map heat flow into manifolds of nonpositive curvature
• Boundary regularity for polyharmonic maps in the critical dimension
• The extrinsic polyharmonic map heat flow in the critical dimension
• Harmonic Mappings of Riemannian Manifolds
• Well-posedness for the Navier-Stokes equations

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