Regular 1-harmonic flow

DOI10.1007/s00526-019-1526-zzbMath1436.35229arXiv1711.07460OpenAlexW2963013628WikidataQ127990346 ScholiaQ127990346MaRDI QIDQ1740497

Salvador Moll, Michał Łasica, Lorenzo Giacomelli

Publication date: 30 April 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07460

zbMATH Keywords

well-posedness theoryglobal existence for small datalocal existence of solutions1-harmonic flow

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Quasilinear parabolic equations with (p)-Laplacian (35K92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) PDEs on manifolds (35R01)

Related Items

A local estimate for vectorial total variation minimization in one dimension, Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes, Existence of solutions to a phase-field model of 3D grain boundary motion governed by a regularized 1-harmonic type flow, A new numerical scheme for discrete constrained total variation flows and its convergence, Existence of W^{1,1} solutions to a class of variational problems with linear growth on convex domains

Cites Work

• Regularity for solutions of the total variation denoising problem
• Scale-invariant extinction time estimates for some singular diffusion equations
• Total variation flow and sign fast diffusion in one dimension
• The imbedding problem for Riemannian manifolds
• A note on the anisotropic generalizations of the Sobolev and Morrey embedding theorems
• Rotationally symmetric 1-harmonic maps from \(D^{2}\) to \(S^{2}\)
• Pairings between measures and bounded functions and compensated compactness
• On quasilinear parabolic systems
• Local existence, uniqueness and regularity for a class of degenerate parabolic systems arising in biological models
• Parabolic quasilinear equations minimizing linear growth functionals
• Fractional div-curl quantities and applications to nonlocal geometric equations
• Geometric mechanics on Riemannian manifolds. Applications to partial differential equations
• Local solvability of a constrained gradient system of total variation
• Heat flow for \(p\)-harmonic maps with small initial data.
• Almost classical solutions to the total variation flow
• A counterexample to finite time stopping property for one-harmonic map flow
• The 1-harmonic flow with values in a hyperoctant of the \(n\)-sphere
• The 1-harmonic flow with values into a smooth planar curve
• An introduction to manifolds. 2nd revised ed.
• The 1-Harmonic Flow with Values into $\mathbb S^{1}$
• Riemannian center of mass and mollifier smoothing
• Color image enhancement via chromaticity diffusion
• Heat flow for p-harmonic maps between compact Riemannian manifolds
• Total Variation Denoising in $l^1$ Anisotropy
• Schauder and L^PEstimates for Parabolic systems via campanato spaces
• Total Variation Regularization for Manifold-Valued Data
• Rotationally Symmetric 1-Harmonic Flows From $D^2$ to $S^2$: Local Well-Posedness and Finite Time Blowup
• Harmonic Mappings of Riemannian Manifolds
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Analytic semigroups and optimal regularity in parabolic problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item