Search Results - "Moll, Salvador"
-
1
Existence of solutions to the Kobayashi–Warren–Carter system
Published in Calculus of variations and partial differential equations (01-11-2014)“…In this paper, a coupled system of two parabolic type initial-boundary value problems is considered. The system is known as the Kobayashi–Warren–Carter model…”
Get full text
Journal Article -
2
Expanding the phenotype of PIGP deficiency to multiple congenital anomalies‐hypotonia‐seizures syndrome
Published in Clinical genetics (01-08-2023)“…Glycosylphosphatidylinositol‐anchored proteins are involved in multiple physiological processes and the initial stage of their biosynthesis is mediated by…”
Get full text
Journal Article -
3
Weak solutions of anisotropic (and crystalline) inverse mean curvature flow as limits of p-capacitary potentials
Published in Journal of functional analysis (01-12-2024)“…We construct weak solutions of the anisotropic inverse mean curvature flow (A-IMCF) under very mild assumptions both on the anisotropy (which is simply a norm…”
Get full text
Journal Article -
4
Kobayashi–Warren–Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation
Published in Nonlinear analysis (01-04-2022)“…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…”
Get full text
Journal Article -
5
Existence of Solutions to a Phase-Field Model of 3D Grain Boundary Motion Governed by a Regularized 1-Harmonic Type Flow
Published in Journal of nonlinear science (01-10-2023)“…In this paper, we propose a quaternion formulation for the orientation variable in the three-dimensional Kobayashi–Warren model for the dynamics of…”
Get full text
Journal Article -
6
Nonlinear Diffusion in Transparent Media
Published in International mathematics research notices (20-02-2023)“…We consider a prototypical nonlinear parabolic equation whose flux has three distinguished features: it is nonlinear with respect to both the unknown and its…”
Get full text
Journal Article -
7
Anisotropic Chan–Vese segmentation
Published in Nonlinear analysis: real world applications (01-10-2023)“…In this paper we study a variant to Chan–Vese (CV) segmentation model with rectilinear anisotropy. We show existence of minimizers in the 2-phases case and how…”
Get full text
Journal Article -
8
The Neumann problem for one-dimensional parabolic equations with linear growth Lagrangian: evolution of singularities
Published in Journal of evolution equations (01-12-2022)“…In this paper, we obtain existence and uniqueness of strong solutions to the inhomogenous Neumann initial-boundary problem for a parabolic PDE which arises as…”
Get full text
Journal Article -
9
Partial regularity for manifold constrained quasilinear elliptic systems
Published in Nonlinear analysis (01-12-2024)“…We consider manifold constrained weak solutions of quasilinear uniformly elliptic systems of divergence type with a source term that grows at most…”
Get full text
Journal Article -
10
Segmentation in Measure Spaces
Published in Applied mathematics & optimization (01-06-2024)“…We consider an abstract concept of perimeter measure space as a very general framework in which one can properly consider two of the most well-studied…”
Get full text
Journal Article -
11
Large solutions for the elliptic 1-Laplacian with absorption
Published in Journal d'analyse mathématique (Jerusalem) (2015)“…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…”
Get full text
Journal Article -
12
Large solutions for nonlinear parabolic equations without absorption terms
Published in Journal of functional analysis (15-02-2012)“…In this paper we give a suitable notion of entropy solution of parabolic p-laplacian type equations with 1 ⩽ p < 2 which blows up at the boundary of the…”
Get full text
Journal Article -
13
Optimal waiting time bounds for some flux-saturated diffusion equations
Published in Communications in partial differential equations (03-04-2017)“…We consider the Cauchy problem for two prototypes of flux-saturated diffusion equations. In arbitrary space dimension, we give an optimal condition on the…”
Get full text
Journal Article -
14
An Augmented Lagrangian Model for Signal Segmentation
Published in Mediterranean journal of mathematics (01-06-2022)“…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…”
Get full text
Journal Article -
15
Rotationally symmetric p-harmonic flows from D2 to S2: Local well-posedness and finite time blow-up
Published in Journal of mathematical analysis and applications (01-08-2014)“…We study the p-harmonic flow from the unit disk D2 to the unit sphere S2 under rotational symmetry. We show that the Dirichlet problem with constant boundary…”
Get full text
Journal Article -
16
Regular 1-harmonic flow
Published in Calculus of variations and partial differential equations (01-04-2019)“…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…”
Get full text
Journal Article -
17
Rotationally symmetric p-harmonic maps from D2 to S2
Published in Journal of Differential Equations (01-05-2013)“…We consider rotationally symmetric p-harmonic maps from the unit disk D2⊂R2 to the unit sphere S2⊂R3, subject to Dirichlet boundary conditions and with 1<p<∞…”
Get full text
Journal Article -
18
Rotationally symmetric p -harmonic flows from D 2 to S 2 : Local well-posedness and finite time blow-up
Published in Journal of mathematical analysis and applications (01-08-2014)Get full text
Journal Article -
19
Erratum to: The Dirichlet problem associated to the relativistic heat equation
Published in Mathematische annalen (23-08-2015)Get full text
Journal Article -
20
Rotationally symmetric p -harmonic maps from D 2 to S 2
Published in Journal of Differential Equations (01-05-2013)Get full text
Journal Article