Weak solutions of a biharmonic map heat flow

DOI10.1515/ACV.2009.004zbMath1165.58008MaRDI QIDQ3624553

Roger Moser

Publication date: 30 April 2009

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

zbMATH Keywords

weak solutionsgradient flowvariational problemstime discretizationbiharmonic maps

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items (9)

Teichmüller harmonic map flow from cylinders ⋮ Critical \(O(d)\)-equivariant biharmonic maps ⋮ Doubling annulus Pohožaev type identity and applications to approximate biharmonic maps ⋮ Energy identity of approximate biharmonic maps to Riemannian manifolds and its application ⋮ The evolution of \(H\)-surfaces with a Plateau boundary condition ⋮ Regularity and uniqueness of a class of biharmonic map heat flows ⋮ Biharmonic wave maps into spheres ⋮ Weak solutions to the heat flow for surfaces of prescribed mean curvature ⋮ \(L^p\)-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions

Cites Work

• Unnamed Item
• Dirichlet problems for heat flows of harmonic maps in higher dimensions
• On the evolution of harmonic mappings of Riemannian surfaces
• Existence and partial regularity results for the heat flow for harmonic maps
• Biharmonic maps from \(\mathbb R^4\) into a Riemannian manifold
• Heat flow for extrinsic biharmonic maps with small initial energy
• Biharmonic map heat flow into manifolds of nonpositive curvature
• Construction of harmonic map flows through the method of discrete Morse flows
• Stationary biharmonic maps fromRm into a Riemannian manifold
• The extrinsic polyharmonic map heat flow in the critical dimension

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