A Curvilinear Search Method for p-Harmonic Flows on Spheres

D Goldfarb, Z Wen, W Yin - SIAM Journal on Imaging Sciences, 2009 - SIAM
The problem of finding p-harmonic flows arises in a wide range of applications including
color image (chromaticity) denoising, micromagnetics, liquid crystal theory, and directional …

A Convergent and Constraint‐Preserving Finite Element Method for the p‐Harmonic Flow into Spheres

JW Barrett, S Bartels, X Feng, A Prohl - SIAM journal on numerical analysis, 2007 - SIAM
An explicit fully discrete finite element method, which satisfies the nonconvex side constraint
at every node, is developed for approximating the p-harmonic flow for p∈(1,∞) …

Heat flow for p-harmonic maps between compact Riemannian manifolds

A Fardoun, R Regbaoui - Indiana University mathematics journal, 2002 - JSTOR
Heat Flow for p-harmonic Maps Between Compact Riemannian Manifolds Page 1 Heat
Flow for p -harmonic Maps Between Compact Riemannian Manifolds Ali Fardoun & Rachid …

[PDF][PDF] -harmonic flow

N Hungerbühler - Annali della Scuola Normale Superiore di Pisa …, 1997 - numdam.org
We prove that the m-harmonic flow of maps from a Riemannian manifold M of dimension m
into a compact Riemannian manifold N has for arbitrary initial data of finite m-energy a …

On the p-harmonic flow into spheres in the singular case

M Misawa - Nonlinear Analysis: Theory, Methods & Applications, 2002 - Elsevier
On the p-harmonic flow into spheres in the singular case - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

[PDF][PDF] Existence and regularity results for the gradient flow for p-harmonic maps

M Misawa - 1998 - digital.library.txstate.edu
Existence and regularity results for the gradient flow for p-harmonic maps Page 1 Electronic
Journal of Differential Equations, Vol. 1998(1998), No. 36, pp. 1–17. ISSN: 1072-6691. URL …

[HTML][HTML] Regularity for the evolution of p-harmonic maps

M Misawa - Journal of Differential Equations, 2018 - Elsevier
This paper presents our study of regularity for p-harmonic map heat flows. We devise a
monotonicity-type formula of scaled energy and establish a criterion for a uniform regularity …

Convergence of an implicit, constraint preserving finite element discretization of p-harmonic heat flow into spheres

S Bartels, A Prohl - Numerische Mathematik, 2008 - Springer
We propose an implicit discretization of the p-harmonic map heat flow into the sphere S 2
that enjoys a discrete energy inequality and converges under only a mild mesh constraint to …

On p-Harmonic Map Heat Flows for 1\leqp<∞ and Their Finite Element Approximations

JW Barrett, X Feng, A Prohl - SIAM journal on mathematical analysis, 2008 - SIAM
Motivated by emerging applications from imaging processing, this paper studies the heat
flow of a generalized p-harmonic map into spheres for the whole spectrum, 1≦p<∞, in a …

A global existence result for the heat flow of higher dimensional H-systems

C Leone, M Misawa, A Verde - Journal de mathématiques pures et …, 2012 - Elsevier
A global existence result for the heat flow of higher dimensional H-systems Page 1 Available
online at www.sciencedirect.com J. Math. Pures Appl. 97 (2012) 282–294 www.elsevier.com/locate/matpur …