7.7k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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17 papers · 2 filters
The linearized Calderon problem in transversally anisotropic geometries
David Dos Santos Ferreira, Yaroslav Kurylev, Matti Lassas +2
In this article we study the linearized anisotropic Calderon problem. In a compact manifold with boundary, this problem amounts to showing that products of harmonic functions form…
Two approaches for the stabilization of nonlinear KdV equation with boundary time-delay feedback
Lucie Baudouin, Emmanuelle Crépeau, Julie Valein
This article concerns the nonlinear Korteweg-de Vries equation with boundary time-delay feedback. Under appropriate assumption on the coefficients of the feedbacks (delayed or not)…
Comments on observability and stabilization of magnetic Schr{ö}dinger equations
Kaïs Ammari, Mourad Choulli, Luc Robbiano
We are mainly interested in extending the known results on ob-servability inequalities and stabilization for the Schr{ö}dinger equation to the magnetic Schr{ö}dinger equation. That…
A unified approach to solving some inverse problems for evolution equations by using observability inequalities
Kaïs Ammari, Mourad Choulli, Faouzi Triki
We survey some of our recent results on inverse problems for evolution equations. The goal is to provide a unified approach to solve various types of evolution equations. The inver…
Scalar problems in junctions of rods and a plate. II. Self-adjoint extensions and simulation models
Renata Bunoiu, Giuseppe Cardone, Sergey A. Nazarov
In this work we deal with a scalar spectral mixed boundary value problem in a spacial junction of thin rods and a plate. Constructing asymptotics of the eigenvalues, we employ two…
On the Cubic Lowest Landau Level Equation
Patrick Gérard, Pierre Germain, Laurent Thomann
We study dynamical properties of the cubic lowest Landau level equation, which is used in the modeling of fast rotating Bose-Einstein condensates. We obtain bounds on the decay of…
Mass and Asymptotics associated to Fractional Hardy-Schrödinger Operators in Critical Regimes
Nassif Ghoussoub, Frédéric Robert, Shaya Shakerian +1
We consider linear and non-linear boundary value problems associated to the fractional Hardy-Schrödinger operator on domains of $…
Corrigendum : An inverse problem in corrosion detection:stability estimates, J. Inv. Ill-posed Problems 12 (4) (2004), 349-367
Mourad Choulli
Corrigendum : An inverse problem in corrosion detection:stability estimates, J. Inv. Ill-posed Problems 12 (4) (2004), 349-367.
On the time evolution of Bernstein processes associated with a class of parabolic equations
Pierre-A Vuillermot
In this article dedicated to the memory of Igor D. Chueshov, I first summarize in a few words the joint results that we obtained over a period of six years regarding the long-time…
Invariant Gibbs measures for the 2-d defocusing nonlinear wave equations
Tadahiro Oh, Laurent Thomann
We consider the defocusing nonlinear wave equations (NLW) on the two-dimensional torus. In particular, we construct invariant Gibbs measures for the renormalized so-called Wick ord…
Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry
Nadine Große, Victor Nistor
We study the regularity of the solutions of second order boundary value problems on manifolds with boundary and bounded geometry. We first show that the regularity property of a gi…
On two functionals involving the maximum of the torsion function
Antoine Henrot, Ilaria Lucardesi, Gérard Philippin
In this paper we investigate upper and lower bounds of two shape functionals involving the maximum of the torsion function. More precisely, we consider and $M(Ω)λ_…
Logarithmic stability of parabolic Cauchy problems
Mourad Choulli, Masahiro Yamamoto
The uniqueness of parabolic Cauchy problems is nowadays a classical problem and since Hadamard \cite{Ha} these kind of problems are known to be ill-posed and even severely ill-pose…
The scaling limit of the KPZ equation in space dimension 3 and higher
Jacques Magnen, Jérémie Unterberger
We study in the present article the Kardar-Parisi-Zhang (KPZ) equation $$ \partial_t h(t,x)=νΔh(t,x)+λ|\nabla h(t,x)|^2 +\sqrt{D}\, η(t,x), \qquad (t,x)\in\mathbb{R}_+\times\mathbb…
Travelling waves for a non-monotone bistable equation with delay: existence and oscillations
Matthieu Alfaro, Arnaud Ducrot, Thomas Giletti
We consider a bistable ($0\textless{}θ\textless{}1$ being the three constant steady states) delayed reaction diffusion equation, which serves as a model in population dynamics. The…
Optimal concavity of the torsion function
A. Henrot, C. Nitsch, P. Salani +1
In this short note we consider an unconventional overdetermined problem for the torsion function: let and be a bounded open set in whose torsion functi…
Bingham flow in porous media with obstacles of different size
Renata Bunoiu, Giuseppe Cardone
By using the unfolding operators for periodic homogenization, we give a general compactness result for a class of functions defined on bounded domains presenting perforations of tw…