24 citations · 79 across the 10 of their papers we have counts for
4 papers · 1 filter
Convergence of level sets in fractional Laplacian regularization
José A. Iglesias, Gwenael Mercier
The use of the fractional Laplacian in image denoising and regularization of inverse problems has enjoyed a recent surge in popularity, since for discontinuous functions it can beh…
Anisotropic curvature flow of immersed curves
Gwenael Mercier, Matteo Novaga, Paola Pozzi
We prove short-time existence of ϕ-regular solutions to the anisotropic and crystalline curvature flow of immersed planar curves.
Mean curvature flow with obstacles: existence, uniqueness and regularity of solutions
Gwenael Mercier, Matteo Novaga
We show short time existence and uniqueness of $\C^{1,1}$ solutions to the mean curvature flow with obstacles, when the obstacles are of class $\C^{1,1}$. If the initial interface…
Mean curvature flow with obstacles: a viscosity approach
Gwenael Mercier
We introduce a level-set formulation for the mean curvature flow with obstacles and show existence and uniqueness of a viscosity solution. These results generalize a well known vis…