3 papers
math.OC2026
A PDE approach to Benamou--Brenier formula for the Schrödinger problem
Mattia Garatti, Luca Nenna, Simona Rota Nodari +1
We studied the Benamou--Brenier formulation of the Schrödinger problem, focusing on a gap between theoretical results and applications, that often involve measures with unbounded…
math.AP2025
Existence and non-existence of minimizers for a multi-particle model with concave nonlinearity
David Gontier, Salma Lahbabi, Simona Rota Nodari
We study a multi--particle model including a kinetic energy and a non linear local self-interaction, both in the bosonic and fermionic cases. In both cases, we prove that the model…
math.AP2025
A numerical study of stability for solitary waves of a quasi-linear Schr{ö}dinger equation
Meriem Bahhi, Jonas Lampart, Christian Klein +1
We discuss the (in)stability of solitary waves for a quasi-linear Schr{ö}dinger equation. The equation contains a quasi-linear term, responsible for a saturation effect, as well a…