31 citations · 86 across the 20 of their papers we have counts for
21 papers
Modified wave operators without loss of regularity for some long range Hartree equations. II
J. Ginibre, G. Velo
We continue the study of the theory of scattering for some long range Hartree equations with potential |x|^-gamma, performed in a previous paper, denoted as I, in the range 1/2 < g…
Modified wave operators without loss of regularity for some long range Hartree equations. I
J. Ginibre, G. Velo
We reconsider the theory of scattering for some long range Hartree equations with potential |x|^-gamma with 1/2 < gamma < 1. More precisely we study the local Cauchy problem with i…
Long range scattering for the Wave-Schrödinger system revisited
Jean Ginibre, Giorgio Velo
We reconsider the theory of scattering for the Wave-Schrödinger system and more precisely the local Cauchy problem with infinite initial time, which is the main step in the constru…
Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schr"odinger and Hartree equations
J. Ginibre, G. Velo
Recently several authors have developed multilinear and in particular quadratic extensions of the classical Morawetz inequality. Those extensions provide (among other results) an e…
Long range scattering for the Maxwell-Schr"odinger system with arbitrarily large asymptotic data
J. Ginibre, G. Velo
We review the proof of existence and uniqueness of solutions of the Maxwell-Schr"odinger system in a neighborhood of infinity in time, with prescribed asymptotic behaviour defined…
Uniqueness at infinity in time for the Maxwell-Schr"odinger system with arbitrarily large asymptotic data
J. Ginibre, G. Velo
We prove the uniqueness of solutions of the Maxwell-Schr"odinger system with given asymptotic behaviour at infinity in time. The assumptions include suitable restrictions on the gr…