4 papers
Stochastic PDE construction of some non-local or non-translation-invariant Anderson operators in the full subcritical regime
Léonard Ferdinand, Samaël Mackowiak, Aurélien Minguella
We construct Anderson-type operators in the full subcritical regime via a SPDE argument. Our work encompasses perturbations by a Gaussian noise of the fractional Laplacian on the t…
A simple derivation of Anderson-Hartree equations with harmonic potential
Samaël Mackowiak
In this paper, we show how to adapt a derivation of Hartree equations due to Knowles and Pickl in the case where the one-particle hamiltonian is an Anderson-Hermite operator in dim…
Standing waves of the Anderson-Gross-Pitaevskii equation
Samaël Mackowiak
In this paper, we study standing waves for the Anderson-Gross-Pitaevskii equation in dimension 1 and 2. The Anderson-Gross-Pitaevskii equation is a nonlinear Schrödinger equation w…
Local wellposedness of the 2d Anderson-Gross-Pitaevskii equation
Samaël Mackowiak
In this paper, the local wellposedness of a general Gross-Pitaevskii equation with rough potential is proven in dimension 2. The class of rough potentials we are considering is lar…