29 citations · 92 across the 15 of their papers we have counts for
4 papers · 2 filters
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…
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…