[图书][B] Sets of finite perimeter and geometric variational problems: an introduction to Geometric Measure Theory

F Maggi - 2012 - books.google.com
The marriage of analytic power to geometric intuition drives many of today's mathematical
advances, yet books that build the connection from an elementary level remain scarce. This …

[图书][B] Parabolic quasilinear equations minimizing linear growth functionals

F Andreu-Vaillo, V Caselles, JM Mazón - 2004 - books.google.com
Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2003. This book contains
a detailed mathematical analysis of the variational approach to image restoration based on …

The total variation flow in RN

G Bellettini, V Caselles, M Novaga - Journal of Differential Equations, 2002 - Elsevier
In this paper, we study the minimizing total variation flow ut= div (Du/∣ Du∣) in RN for initial
data u0 in Lloc1 (RN), proving an existence and uniqueness result. Then we characterize all …

Motion by crystalline-like mean curvature: a survey

Y Giga, N Požár - Bulletin of Mathematical Sciences, 2022 - World Scientific
Motion by crystalline-like mean curvature: A survey | Bulletin of Mathematical Sciences World
Scientific Search This Journal Anywhere Quick Search in Journals Enter words / phrases …

A characterization of convex calibrable sets in

F Alter, V Caselles, A Chambolle - Mathematische Annalen, 2005 - Springer
The main purpose of this paper is to characterize the calibrability of bounded convex sets in
by the mean curvature of its boundary, extending the known analogous result in dimension …

The anisotropic total variation flow

JS Moll - Mathematische Annalen, 2005 - Springer
Mathematische Annalen Page 1 DOI: 10.1007/s00208-004-0624-0 Math. Ann. 332, 177–218
(2005) Mathematische Annalen The anisotropic total variation flow JS Moll Received: 22 March …

Crystalline mean curvature flow of convex sets

G Bellettini, V Caselles, A Chambolle… - Archive for rational …, 2006 - Springer
We prove a local existence and uniqueness result of crystalline mean curvature flow starting
from a compact convex admissible set in. This theorem can handle the facet …

On a Crystalline Variational Problem, Part I:¶ First Variation and Global L∞ Regularity

G Bellettini, M Novaga, M Paolini - Archive for rational mechanics and …, 2001 - Springer
Let φ: ℝ n→[0,+∞[be a given positively one-homogeneous convex function, and let? φ≔{φ≤
1}. Pursuing our interest in motion by crystalline mean curvature in three dimensions, we …

Very singular diffusion equations: second and fourth order problems

MH Giga, Y Giga - Japan journal of industrial and applied mathematics, 2010 - Springer
This paper studies singular diffusion equations whose diffusion effect is so strong that the
speed of evolution becomes a nonlocal quantity. Typical examples include the total variation …

Explicit Solutions of the Eigenvalue Problem in

G Bellettini, V Caselles, M Novaga - SIAM Journal on Mathematical Analysis, 2005 - SIAM
In this paper we compute explicit solutions of the eigenvalue problem -div(Du/|Du|)=u in
R^2, in particular explicit solutions whose truncatures are in W^1,1_\rmloc(R^2), and …