29 citations · 92 across the 15 of their papers we have counts for
17 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…
Dispersion for the wave equation with Neumann boundary condition inside general strictly convex domains
Oana Ivanovici, Diego Sanchez Sanz
We consider the wave equation on a manifold of dimension d>1 with smooth strictly convex boundary, with Neumann boundary condition. We construct a sharp local in time parametrix fo…
Strichartz and dispersive estimates for quantum bouncing ball model: exponential sums and Van der Corput methods in 1d semi-classical Schrödinger equations
Oana Ivanovici
We analyze the one-dimensional semi-classical Schrödinger equation on the half-line with a linear potential and Dirichlet boundary conditions. Our main focus is on establishing imp…
Dispersion estimates for the wave equation outside of a cylinder]{Dispersive estimates for the wave equation outside a cylinder in
Felice Iandoli, Oana Ivanovici
We consider the wave equation with Dirichlet boundary conditions in the exterior of a cylinder in R 3 and we construct a global in time parametrix to derive sharp dispersion estima…
Dispersive estimates for the wave and the Klein-Gordon equations in large time inside the Friedlander domain
Oana Ivanovici
We prove global in time dispersion for the wave and the Klein-Gordon equation inside the Friedlander domain by taking full advantage of the space-time localization of caustics and…
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…
Dispersive estimates for the Schr{ö}dinger equation in a strictly convex domain and applications
Oana Ivanovici
We consider an anisotropic model case for a strictly convex domain of dimension with smoothboundary and we describe dispersion forthe semi-classical Schr{ö}dinger equatio…
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…
Dispersion for the wave equation outside a ball and counterexamples
Oana Ivanovici, Gilles Lebeau
The purpose of this note is to prove dispersive estimates for the wave equation outside a ball in R^d. If d = 3, we show that the linear flow satisfies the dispersive estimates as…
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…
Dispersion for the wave equation inside strictly convex domains I: the Friedlander model case
Oana Ivanovici, Gilles Lebeau, Fabrice Planchon
We consider a model case for a strictly convex domain of dimension with smooth boundary and we describe dispersion for the wave equation with Dirichlet boundary condition…
Precise smoothing effect in the exterior of balls
Oana Ivanovici
We are interested in this article in investigating the smoothing effect properties of the solutions of the Schrodinger equation. We deduce global well-posedness results for the cub…
On the energy critical Schrodinger equation in 3D non-trapping domains
Oana Ivanovici, Fabrice Planchon
We prove that the quintic Schrodinger equation with Dirichlet boundary conditions is locally well posed for H^{1}_{0} data on any smooth, non-trapping domain of R^3. The key ingred…
Counter-examples to the Strichartz estimates for the wave equation in domains II
Oana Ivanovici
We consider a smooth and bounded domain of dimension d>1 and we construct solutions to the wave equation with Dirichlet boundary conditions which contradict the Strichartz estimate…
Square function and heat flow estimates on domains
Oana Ivanovici, Fabrice Planchon
The first purpose of this note is to provide a proof of the usual square function estimate on Lp (?). It turns out to follow directly from a generic Mikhlin multiplier theorem obta…
On the Schrodinger equation outside strictly convex obstacles
Oana Ivanovici
We prove sharp Strichartz estimates for the semi-classical Schrodinger equation on a compact manifold with smooth, strictly geodesically concave boundary. We deduce sharp (classica…