24 citations · 64 across the 13 of their papers we have counts for
15 papers · 1 filter
Characterization of the subdifferential and minimizers for the anisotropic p-capacity
Esther Cabezas-Rivas, Salvador Moll, Marcos Solera
We obtain existence of minimizers for the -capacity functional defined with respect to a centrally symmetric anisotropy for , including the case of a crystalline n…
Anisotropic Chan-Vese segmentation
Salvador Moll, Vicent Pallardó-Julià
In this paper we study a variant to Chan-Vese image segmentation model with rectilinear anisotropy. We show existence of minimizers in the -phases case and how they are related…
Existence of solutions to a phase-field model of 3D-grain boundary motion governed by a regularized 1-harmonic type flow
Salvador Moll, Ken Shirakawa, Hiroshi Watanabe
In this paper we propose a quaternion formulation for the orientation variable in the three dimensional Kobayashi--Warren model for the dynamics of polycrystals. We obtain existenc…
An augmented Lagrangian model for signal segmentation
Salvador Moll, Vicent Pallardó
In this paper, we provide a new insight to the two-phase signal segmentation problem. We propose an augmented Lagrangian variational model based on Chan-Vese's original one. By usi…
Kobayashi--Warren--Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation
Salvador Moll, Ken Shirakawa, Hiroshi Watanabe
In this paper we study the Dirichlet problem for the Kobayashi--Warren--Carter system. This system of parabolic PDE's models the grain boundary motion in a polycrystal with a presc…
Nonlinear diffusion in transparent media
Lorenzo Giacomelli, Salvador Moll, Francesco Petitta
We consider a prototypical nonlinear parabolic equation whose flux has three distinguished features: it is nonlinear with respect to both the unknown and its gradient, it is homoge…
Regular 1-harmonic flow
Lorenzo Giacomelli, Michał Łasica, Salvador Moll
We consider the 1-harmonic flow of maps from a bounded domain into a submanifold of a Euclidean space, i.e. the gradient flow of the total variation functional restricted to maps t…
Energy dissipative solutions to the Kobayashi-Warren-Carter system
Salvador Moll, Ken Shirakawa, Hiroshi Watanabe
In this paper we study a variational system of two parabolic PDEs, called the Kobayashi-Warren-Carter system, which models the grain boundary motion in a polycrystal. The focus of…
Nonlinear diffusion in transparent media: the resolvent equation
Lorenzo Giacomelli, Salvador Moll, Francesco Petitta
We consider the partial differential equation with nonnegative and bounded and . We prove existen…
Total variation denoising in anisotropy
Michał Łasica, Salvador Moll, Piotr B. Mucha
We aim at constructing solutions to the minimizing problem for the variant of Rudin-Osher-Fatemi denoising model with rectilinear anisotropy and to the gradient flow of its underly…
Optimal waiting time bounds for some flux-saturated diffusion equations
Lorenzo Giacomelli, Salvador Moll, Francesco Petitta
We consider the Cauchy problem for two prototypes of flux-saturated diffusion equations. In arbitrary space dimension, we give an optimal condition on the growth of the initial dat…
Large solutions for nonlinear parabolic equations without absorption terms
Salvador Moll, Francesco Petitta
In this paper we give a suitable notion of entropy solution of parabolic laplacian type equations with which blows up at the boundary of the domain. We prove existe…
Large solutions for the elliptic -Laplacian with absorption
Salvador Moll, Francesco Petitta
In this paper we give a general condition on the absorption term of the 1-Laplace elliptic equation for the existence of suitable large solutions. This condition can be considered…
Rotationally symmetric p-harmonic flows from D^2 to S^2: local well-posedness and blow-up
Razvan Gabriel Iagar, Salvador Moll
We study the -harmonic flow from the unit disk to the unit sphere under rotational symmetry. We show that the Dirichlet problem with constant boundary conditions is…
Rotationally symmetric p-harmonic maps from D^2 to S^2
Razvan Gabriel Iagar, Salvador Moll
We consider rotationally symmetric -harmonic maps from the unit disk to the unit sphere , subject to Dirichlet boundary conditions and wit…