On the \(p\)-harmonic flow into spheres in the singular case

DOI10.1016/S0362-546X(01)00755-6zbMath1163.53339MaRDI QIDQ1612588

Masashi Misawa

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Harmonic maps, etc. (58E20)

Related Items (9)

Divergence-\(L^{q}\) and divergence-measure tensor fields and gradient flows for linear growth functionals of maps into the unit sphere ⋮ Local regularity and compactness for the \(p\)-harmonic map heat flows ⋮ On a class of rotationally symmetric \(p\)-harmonic maps ⋮ Regularity for the evolution of \(p\)-harmonic maps ⋮ Rotationally symmetric \(p\)-harmonic flows from \(D^2\) to \(S^2\): local well-posedness and finite time blow-up ⋮ Rotationally symmetric 1-harmonic maps from \(D^{2}\) to \(S^{2}\) ⋮ Convergence of an implicit, constraint preserving finite element discretization of \(p\)-harmonic heat flow into spheres ⋮ Global existence and partial regularity for the \(p\)-harmonic flow ⋮ A global existence result for the heat flow of higher dimensional H-systems

Cites Work

• On removable singularities of p-harmonic maps
• Nonuniqueness for the heat flow of harmonic maps
• On the evolution of harmonic maps in higher dimensions
• Existence and partial regularity results for the heat flow for harmonic maps
• Harmonic maps of manifolds with boundary
• Heat flow of \(p\)-harmonic maps with values into spheres
• A remark on \(p\)-harmonic heat flows
• Mappings minimizing theLp norm of the gradient
• Singularities of harmonic maps
• Global weak solutions of the p-harmonic flow into homogeneous spaces
• Compactness properties of the p-harmonic flow into homogeneous spaces
• Harmonic Mappings of Riemannian Manifolds
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