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math.AP2025
Small-time approximate controllability of the logarithmic Schr\''dinger equation
Karine Beauchard, Rémi Carles, Eugenio Pozzoli
We consider Schr{ö}dinger equations with logarithmic nonlinearity and bilinear controls, posed on or . We prove their small-time global -approxima…
math.AP2025
Small-time local control of a Schrödinger equation: a negative and a positive quadratic result
Karine Beauchard, Frédéric Marbach, Thomas Perrin
We study the small-time local controllability (STLC) of a bilinear Schrödinger equation with Neumann boundary conditions near its ground state. We focus on the degenerate case wher…