64 citations · 323 across the 21 of their papers we have counts for
23 papers
Dispersion for the Schrödinger equation inside strictly convex domains: the general case
Oana Ivanovici, Fabrice Planchon
We consider a general smooth bounded strictly convex domain of dimension and describe dispersion for the semiclassical Schrödinger equation with Dir…
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…
Transport of gaussian measures by the flow of the nonlinear Schrödinger equation
F. Planchon, N. Tzvetkov, N. Visciglia
We prove a new smoothing type property for solutions of the 1d quintic Schrödinger equation. As a consequence, we prove that a family of natural gaussian measures are quasi-invaria…
On the growth of Sobolev norms for NLS on and manifolds
Fabrice Planchon, Nikolay Tzvetkov, Nicola Visciglia
Using suitable modified energies we study higher order Sobolev norms' growth in time for the nonlinear Schrödinger equation (NLS) on a generic or compact manifold. In $2d…
Are Maxwell's equations Lorentz-covariant?
D V Redzic
The statement that Maxwell's electrodynamics in vacuum is already covariant under Lorentz transformations is commonplace in the literature. We analyse the actual meaning of that st…