114 citations · 322 across the 35 of their papers we have counts for
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Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit
Benoît Grébert, Tiphaine Jézéquel, Laurent Thomann
We consider the Klein-Gordon equation on a Riemannian surface which is globally well-posed in the energy space. This equation has an homoclinic orbit to the origin, and in this pap…
Dynamics on resonant clusters for the quintic non linear Schrödinger equation
Emanuele Haus, Laurent Thomann
We construct solutions to the quintic nonlinear Schrödinger equation on the circle with initial conditions supported on arbitrarily many different resonant clusters. This is a sequ…
Global infinite energy solutions for the cubic wave equation
Nicolas Burq, Laurent Thomann, Nikolay Tzvetkov
We prove the existence of infinite energy global solutions of the cubic wave equation in dimension greater than 3. The data is a typical element on the support of suitable probabil…
Beating effects in cubic Schrödinger systems and growth of Sobolev norms
Benoît Grébert, Éric Paturel, Laurent Thomann
We consider a system of coupled cubic Schrödinger equations. We prove that there exists a beating effect, i.e. an energy exchange between different modes. This construction may be…