Solutions to the 1-harmonic flow with values into a hyper-octant of the \(N\)-sphere

DOI10.1016/j.aml.2013.05.016OpenAlexW2001974539MaRDI QIDQ2339278

Salvador Moll, Lorenzo Giacomelli, José M. Mazón Ruiz

Publication date: 31 March 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2013.05.016

zbMATH Keywords

image processinggeodesicnon-convex variational problemstotal variation flowharmonic flowslower semi-continuity and relaxation

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Nonlinear parabolic equations (35K55) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Spaces of measures (46E27)

Related Items (3)

The 1-harmonic flow with values into a smooth planar curve ⋮ Rotationally symmetric \(p\)-harmonic flows from \(D^2\) to \(S^2\): local well-posedness and finite time blow-up ⋮ A counterexample to finite time stopping property for one-harmonic map flow

Cites Work

• Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\)
• Pairings between measures and bounded functions and compensated compactness
• The 1-Harmonic Flow with Values into $\mathbb S^{1}$
• Relaxation of multiple integrals in the spaceBV(Ω, R^P)
• Color image enhancement via chromaticity diffusion
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