41 citations · 50 across the 6 of their papers we have counts for
11 papers
C^(sigma+alpha) regularity for fractional Hamilton-Jacobi equations, and rates of convergence in periodic homogenization
Adina Ciomaga, Andrei Rodriguez-Paredes, Erwin Topp
We study two related questions for nonlocal equations of Bellman type: the regularity of solutions when the set of controls depends on the state variable, and the periodic homogeni…
Improved Regularity for Nonlocal Hamilton--Jacobi Equations with Superlinear Hamiltonians
Adina Ciomaga, Tri Minh Lê, Olivier Ley +1
We investigate the regularity of viscosity solutions to a class of nonlocal Hamilton-Jacobi equations driven by x-dependent integro-differential operators and coercive superlinear…
MBO Scheme for Local Chan--Vese Segmentation
Kevin Bui, Adina Ciomaga
Robust to intensity inhomogeneity, the local Chan--Vese (LCV) model extends the classical Chan--Vese (CV) image segmentation method by incorporating local statistical information a…
Comparison principle for general nonlocal Hamilton-Jacobi equations with superlinear gradient
Adina Ciomaga, Tri Minh Le, Olivier Ley +1
We obtain the comparison principle for discontinuous viscosity sub- and supersolutions of nonlocal Hamilton-Jacobi equations, with superlinear and coercive gradient terms. The nonl…
Periodic Homogenization for Weakly Elliptic Hamilton-Jacobi-Bellman Equations with Critical Fractional Diffusion
Adina Ciomaga, Daria Ghilli, Erwin Topp
In this paper we establish periodic homogenization for Hamilton-Jacobi-Bellman (HJB) equations, associated to nonlocal operators of integro-differential type. We consider the case…
Segmentation of Scanning Tunneling Microscopy Images Using Variational Methods and Empirical Wavelets
Bui Kevin, Fauman Jacob, Kes David +7
In the fields of nanoscience and nanotechnology, it is important to be able to functionalize surfaces chemically for a wide variety of applications. Scanning tunneling microscopes…
Stochastic homogenization of interfaces moving with changing sign velocity
A. Ciomaga, P. E. Souganidis, H. V. Tran
We are interested in the averaged behavior of interfaces moving in stationary ergodic environments, with oscillatory normal velocity which changes sign. This problem can be reformu…
Large Time Behavior of Periodic Viscosity Solutions for Uniformly Elliptic Integro-Differential Equations
Guy Barles, Emmanuel Chasseigne, Adina Ciomaga +1
In this paper, we study the large time behavior of solutions of a class of parabolic fully nonlinear integro-differential equations in a periodic setting. In order to do so, we fir…
Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations
Guy Barles, Emmanuel Chasseigne, Adina Ciomaga +1
We establish new Hoelder and Lipschitz estimates for viscosity solutions of a large class of elliptic and parabolic nonlinear integro-differential equations, by the classical Ishii…
A proof of equivalence between level lines shortening and curvature motion in image processing
Adina Ciomaga, Jean-Michel Morel
In this paper we define the continuous Level Lines Shortening evolution of a two-dimensional image as the Curve Shortening operator acting simultaneously and independently on all t…
On the Strong Maximum Principle for Second Order Nonlinear Parabolic Integro-Differential Equations
Adina Ciomaga
This paper is concerned with the study of the Strong Maximum Principle for semicontinuous viscosity solutions of fully nonlinear, second-order parabolic integro-differential equati…