2 papers
math.AP2025
Propagation of coherent states in the logarithmic Schrodinger equation
Rémi Carles, Fangyuan Dong
We consider the logarithmic Schr{ö}dinger equation in a semiclassical scaling, in the presence of a smooth, at most quadratic, external potential. For initial data under the form o…
math.AP2024
On the Cauchy problem for logarithmic fractional Schr{ö}dinger equation
Rémi Carles, Fangyuan Dong
We consider the fractional Schrodinger equation with a logarithmic nonlinearity, when the power of the Laplacian is between zero and one. We prove global existence results in three…