The 1-Harmonic Flow with Values into $\mathbb S^{1}$
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Publication:2843467
DOI10.1137/12088402XzbMath1278.35128MaRDI QIDQ2843467
Lorenzo Giacomelli, Salvador Moll, José M. Mazón Ruiz
Publication date: 22 August 2013
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
harmonic mapsexistence and uniquenesshomogeneous Neumann boundary conditionstotal variation flowformal gradient flow
Computing methodologies for image processing (68U10) Nonlinear parabolic equations (35K55) Liquid crystals (76A15) Harmonic maps, etc. (58E20) Statistical mechanics of magnetic materials (82D40) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (7)
The 1-harmonic flow with values into a smooth planar curve ⋮ A local estimate for vectorial total variation minimization in one dimension ⋮ Rotationally symmetric \(p\)-harmonic flows from \(D^2\) to \(S^2\): local well-posedness and finite time blow-up ⋮ A new numerical scheme for discrete constrained total variation flows and its convergence ⋮ Regular 1-harmonic flow ⋮ Solutions to the 1-harmonic flow with values into a hyper-octant of the \(N\)-sphere ⋮ A counterexample to finite time stopping property for one-harmonic map flow
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