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Infinite dimensional invariant tori for nonlinear Schrödinger equations
Joackim Bernier, Benoit Grébert, Tristan Robert
We prove that nonlinear Schrödinger equations on the circle, without external parameters, admits plenty of almost periodic solutions. Indeed, we prove that arbitrarily close to mos…
Regularization by noise for some strongly non-resonant modulated dispersive PDEs
Tristan Robert
In this work, we pursue our investigations on the Cauchy problem for a class of dispersive PDEs where a rough time coefficient is present in front of the dispersion. We show that i…
Remarks on nonlinear dispersive PDEs with rough dispersion management
Tristan Robert
In this work, we study the Cauchy problem for a class of dispersive PDEs where a rough time coefficient is present in front of the dispersion. Under minimal assumptions on the occu…
Anderson stochastic quantization equation
Hugo Eulry, Antoine Mouzard, Tristan Robert
We study the parabolic defocusing stochastic quantization equation with both mutliplicative spatial white noise and an independant space-time white noise forcing, on compact surfac…