P. Gérard

activity

20032022

most citedBilinear Eigenfunction Estimates and the Nonlinear Schroedinger Equation on Surfaces

168 citations · 325 across the 23 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

math.AP2012★ 14 cited

Wigner Measure Propagation and Conical Singularity for General Initial Data

Clotilde Fermanian-Kammerer, Patrick Gérard, Caroline Lasser

We study the evolution of Wigner measures of a family of solutions of a Schrödinger equation with a scalar potential displaying a conical singularity. Under a genericity assumption…

math.AP2012

Spectral inverse problems for compact Hankel operators

Patrick Gerard, Sandrine Grellier

Given two arbitrary sequences $(λ_{j})_{j \geq 1}$ and $(μ_{j})_{j \geq 1}$ of real numbers satisfying $∣ λ_{1} ∣ > ∣ μ_{1} ∣ > ∣ λ_{2} ∣ > ∣ μ_{2} ∣ > ... > ∣ λ_{j} ∣ > ∣ μ_{j} ∣ \to 0,$ we prove that there exists a…