Fetching the paper…
Reading the bibliography…
We consider the 1-harmonic flow of maps from a bounded domain into a submanifold of a Euclidean space, i.e.
The imbedding problem for Riemannian manifolds
John Nash · 1956
Earlier work this paper cites.
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II
S. Agmon, A. Douglis, and L. Nirenberg · 1964
Earlier work this paper cites.
Harmonic mappings of Riemannian manifolds
James Eells, Jr. and J. H. Sampson · 1964
Earlier work this paper cites.
Lineynye i kvazilineynye uravneniya parabolicheskogo tipa
O.A. Ladyzhenskaya, V.A. Solonnikov, and N.N. Ural’tseva · 1967
Earlier work this paper cites.
Foundations of global non-linear analysis
Richard S. Palais · 1968
Earlier work this paper cites.
Isometric embeddings of Riemannian and pseudo-Riemannian manifolds
Robert E. Greene · 1970
Earlier work this paper cites.
Riemannian center of mass and mollifier smoothing
H. Karcher · 1977
Earlier work this paper cites.
Pairings between measures and bounded functions and compensated compactness
Gabriele Anzellotti · 1983
Earlier work this paper cites.
Problèmes mathématiques en plasticité
Roger Temam · 1983
Earlier work this paper cites.
On quasilinear parabolic systems
Paolo Acquistapace and Brunello Terreni · 1988
Earlier work this paper cites.
Riemannian geometry
Manfredo Perdigão do Carmo · 1992
Earlier work this paper cites.
Local existence, uniqueness and regularity for a class of degenerate parabolic systems arising in biological models
Vincenzo Vespri · 1992
Earlier work this paper cites.
Analytic semigroups and optimal regularity in parabolic problems
Alessandra Lunardi · 1995
Earlier work this paper cites.
Schauder and L p L^{p} estimates for parabolic systems via Campanato spaces
Wilhelm Schlag · 1996
Earlier work this paper cites.
m m -harmonic flow
Norbert Hungerbühler · 1997
Cited alongside, same era.
Existence and regularity results for the gradient flow for p p -harmonic maps
Masashi Misawa · 1998
Cited alongside, same era.
Riemannian geometry
Peter Petersen · 1998
Cited alongside, same era.
Diffusion of general data on non-flat manifolds via harmonic maps theory: The direction diffusion case
B. Tang, G. Sapiro, and V. Caselles · 2000
Cited alongside, same era.
Color image enhancement via chromaticity diffusion
B. Tang, G. Sapiro, and V. Caselles · 2001
Cited alongside, same era.
Heat flow for p p -harmonic maps between compact Riemannian manifolds
Ali Fardoun and Rachid Regbaoui · 2002
Cited alongside, same era.
Rotationally symmetric 1-harmonic flows from D 2 D^{2} to S 2 S^{2} : local well-posedness and finite time blowup
Lorenzo Giacomelli and Salvador Moll · 2010
Later among the works it cites.
Regularity for solutions of the total variation denoising problem
Vicent Caselles, Antonin Chambolle, and Matteo Novaga · 2011
Later among the works it cites.
Scale-invariant extinction time estimates for some singular diffusion equations
Yoshikazu Giga and Robert V. Kohn · 2011
Later among the works it cites.
An introduction to manifolds
Loring W. Tu · 2011
Later among the works it cites.
Total variation flow and sign fast diffusion in one dimension
Matteo Bonforte and Alessio Figalli · 2012
Later among the works it cites.
The 1-harmonic flow with values into 𝕊 1 \mathbb{S}^{1}
Lorenzo Giacomelli, José M. Mazón, and Salvador Moll · 2013
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Heat flow for p p -harmonic maps with small initial data
Ali Fardoun and Rachid Regbaoui · 2003
Cited alongside, same era.
Parabolic quasilinear equations minimizing linear growth functionals
Fuensanta Andreu-Vaillo, Vicent Caselles, and José M. Mazón · 2004
Cited alongside, same era.
Local solvability of a constrained gradient system of total variation
Yoshikazu Giga, Yohei Kashima, and Noriaki Yamazaki · 2004
Cited alongside, same era.
Existence of a classical solution for linear parabolic systems of nondivergence form
Masashi Misawa · 2004
Cited alongside, same era.
Global solvability of constrained singular diffusion equation associated with essential variation
Yoshikazu Giga, Hirotoshi Kuroda, and Noriaki Yamazaki · 2007
Cited alongside, same era.
Rotationally symmetric 1-harmonic maps from D 2 D^{2} to S 2 S^{2}
Roberta Dal Passo, Lorenzo Giacomelli, and Salvador Moll · 2008
Cited alongside, same era.
Later among the works it cites.
Almost classical solutions to the total variation flow
Karolina Kielak, Piotr Bogusław Mucha, and Piotr Rybka · 2013
Later among the works it cites.
Total variation regularization for functions with values in a manifold
Jan Lellmann, Evgeny Strekalovskiy, Sabrina Koetter, and Daniel Cremers · 2013
Later among the works it cites.
The 1-harmonic flow with values in a hyperoctant of the N N -sphere
Lorenzo Giacomelli, Jose M. Mazón, and Salvador Moll · 2014
Later among the works it cites.
Total variation regularization for manifold-valued data
Andreas Weinmann, Laurent Demaret, and Martin Storath · 2014
Later among the works it cites.
A counterexample to finite time stopping property for one-harmonic map flow
Yoshikazu Giga and Hirotoshi Kuroda · 2015
Later among the works it cites.
The 1-harmonic flow with values into a smooth planar curve
Agnese Di Castro and Lorenzo Giacomelli · 2016
Later among the works it cites.
Fractional div-curl quantities and applications to nonlocal geometric equations
Katarzyna Mazowiecka and Armin Schikorra · 2017
Closest in time.