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math.AP2023
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…
math.AP2023★ 1 cited
Growth of Sobolev norms and strong convergence for the discrete nonlinear Schr{ö}dinger equation
Quentin Chauleur
We show the strong convergence in arbitrary Sobolev norms of solutions of the discrete nonlinear Schr{ö}dinger on an infinite lattice towards those of the nonlinear Schr{ö}dinger e…