Biharmonic map heat flow into manifolds of nonpositive curvature

DOI10.1007/s00526-004-0283-8zbMath1070.58017OpenAlexW2025487794MaRDI QIDQ1773092

Tobias Lamm

Publication date: 25 April 2005

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-004-0283-8

zbMATH Keywords

regularitybiharmonic mapbubblingheat flow method

Mathematics Subject Classification ID

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

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Cites Work

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• Biharmonic submanifolds in spheres.
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• The Yang-Mills flow in four dimensions
• On biharmonic maps and their generalizations
• The Willmore flow with small initial energy.
• Biharmonic maps from \(\mathbb R^4\) into a Riemannian manifold
• Gradient flow for the Willmore functional
• On constructing biharmonic maps and metrics
• Stationary biharmonic maps fromRm into a Riemannian manifold
• BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
• Harmonic Mappings of Riemannian Manifolds

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