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math.AP2019★ 16 cited
The focusing logarithmic Schrödinger equation: analysis of breathers and nonlinear superposition
Guillaume Ferriere
We consider the logarithmic Schrödinger equation in the focusing regime. For this equation, Gaussian initial data remains Gaussian. In particular, the Gausson-a time-independent Ga…
math.AP2019★ 7 cited
Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schr{ö}dinger equation
Guillaume Ferriere
We consider the dispersive logarithmic Schr{ö}dinger equation in a semi-classical scaling. We extend the results about the large time behaviour of the solution (dispersion faster t…