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15 papers · 2 filters
Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media
Gregoire Allaire, Jean-Francois Dufreche, Andro Mikelic +1
We consider the Poisson-Boltzmann equation in a periodic cell, representative of a porous medium. It is a model for the electrostatic distribution of chemical species diluted i…
Energy and regularity dependent stability estimates for near-field inverse scattering in multidimensions
Mikhail Isaev
We prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension . Our estimates are given in uniform norm for coeffic…
Small time heat kernel asymptotics at the cut locus on surfaces of revolution
Davide Barilari, Jacek Jendrej
In this paper we investigate the small time heat kernel asymptotics on the cut locus on a class of surfaces of revolution, which are the simplest 2-dimensional Riemannian manifolds…
Existence and qualitative properties of isoperimetric sets in periodic media
Antonin Chambolle, Michael Goldman, Matteo Novaga
We review and extend here some recent results on the existence of minimal surfaces and isoperimetric sets in non homogeneous and anisotropic periodic media. We also describe the qu…
New global stability estimates for monochromatic inverse acoustic scattering
Mikhail Isaev, Roman Novikov
We give new global stability estimates for monochromatic inverse acoustic scattering. These estimates essentially improve estimates of [P. Hahner, T. Hohage, SIAM J. Math. Anal.,…
Fine properties of the subdifferential for a class of one-homogeneous functionals
Antonin Chambolle, Michael Goldman, Matteo Novaga
We collect here some known results on the subdifferential of one-homogeneous functionals, which are anisotropic and nonhomogeneous variants of the total variation and establish a n…