58 citations · 168 across the 15 of their papers we have counts for
15 papers
Dispersion for the wave and Schrödinger equations outside a ball and counterexamples
Oana Ivanovici
We consider the wave equation with Dirichlet boundary conditions in the exterior of the unit ball of . For , we obtain a global in time parametrix a…
Potential energy surfaces without unphysical discontinuities: the Coulomb-hole plus screened exchange approach
J. Arjan Berger, Pierre-François Loos, Pina Romaniello
In this work we show the advantages of using the Coulomb-hole plus screened-exchange (COHSEX) approach in the calculation of potential energy surfaces. In particular, we demonstrat…
Strichartz estimates for the wave equation on a 2d model convex domain
Oana Ivanovici, Gilles Lebeau, Fabrice Planchon
We prove better Strichartz type estimates than expected from the (optimal) dispersion we obtained in our earlier work on a 2d convex model. This follows from taking full advantage…
Sufficient Stability Conditions for Time-varying Networks of Telegrapher's Equations or Difference Delay Equations
Laurent Baratchart, Sébastien Fueyo, Gilles Lebeau +1
We give a sufficient condition for exponential stability of a network of lossless telegrapher's equations, coupled by linear time-varying boundary conditions. The sufficient condit…
Spectral Inequalities for the Schr{ö}dinger operator
Gilles Lebeau, Iván Moyano
In this paper we deal with the so-called "spectral inequalities", which yield a sharp quantification of the unique continuation for the spectral family associated with the Schrödin…
Diffusion approximation for Fokker Planck with heavy tail equilibria : a spectral method in dimension 1
Gilles Lebeau, Marjolaine Puel
This paper is devoted to the diffusion approximation for the 1-d Fokker Planck equation with a heavy tail equilibria of the form (1+v^2)^{-β/2}, in the range beta\in ]1,5[. We prov…