Point Singularities and Nonuniqueness for the Heat Flow for Harmonic Maps

DOI10.1081/PDE-120021189zbMath1029.58008OpenAlexW2070277748MaRDI QIDQ4707069

Adriano Pisante, Michiel Bertsch, Roberta Dal Passo

Publication date: 9 June 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120021189

zbMATH Keywords

energy concentrationharmonic map flowharmonic heat flowreverse bubblingmodified energy inequality

Mathematics Subject Classification ID

Related Items (8)

Rotationally symmetric \(p\)-harmonic flows from \(D^2\) to \(S^2\): local well-posedness and finite time blow-up ⋮ On a new harmonic heat flow with the reverse Hölder inequalities ⋮ Rotationally symmetric 1-harmonic maps from \(D^{2}\) to \(S^{2}\) ⋮ Traveling wave solutions of harmonic heat flow ⋮ Traveling wave solutions of the heat flow of director fields ⋮ Regularity condition by mean oscillation to a weak solution of the 2-dimensional harmonic heat flow into sphere ⋮ Nonuniqueness of the traveling wave speed for harmonic heat flow ⋮ ENERGY CONCENTRATION FOR 2-DIMENSIONAL RADIALLY SYMMETRIC EQUIVARIANT HARMONIC MAP HEAT FLOWS

Cites Work

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• Harmonic maps with defects
• Existence and partial regularity results for the heat flow for harmonic maps
• Harmonic map heat flow for axially symmetric data
• Some new examples for nonuniqueness of the evolution problem of harmonic maps
• Finite time blow-up for the harmonic map heat flow
• Nonuniqueness for the heat flow of harmonic maps on the disk
• Harmonic Mappings of Riemannian Manifolds

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