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On the dependence of the nonlinear Schrodinger flow upon the power of the nonlinearity
Rémi Carles, Quentin Chauleur, Guillaume Ferriere
We prove continuity properties for the flow map associated to the defocusing energy-subcritical power-like nonlinear Schr{ö}dinger equation, when the power varies. We show local in…
On the propagation of high regularity for the logarithmic Schr{ö}dinger equation
Quentin Chauleur, Guillaume Ferriere
We investigate both the instantaneous loss and the persistence of high regularity for the one-dimensional logarithmic Schr{ö}dinger equation in symmetric domains under various boun…
Continuum limit of the discrete nonlinear Klein-Gordon equation
Quentin Chauleur
We study the convergence of solutions of the discrete nonlinear Klein-Gordon equation on an infinite lattice in the continuum limit, using recent tools developed in the context of…
The logarithmic Schr{ö}dinger equation with spatial white noise on the full space
Quentin Chauleur, Antoine Mouzard
We solve the Schr{ö}dinger equation with logarithmic nonlinearity and multiplicative spatial white noise on R d with d 2. Because of the nonlinearity, the regularity structur…