29 citations · 92 across the 15 of their papers we have counts for
Showing 2009 · math.APShow all
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math.AP2009★ 3 cited
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…
math.AP2009★ 19 cited
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…
math.AP2009★ 2 cited
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…