3 papers
math.AP2026
Quantitative uniform resolvent estimates
Piero D'Ancona, Jérémy Faupin, David Krejcirik
We derive quantitative uniform resolvent estimates for Schrödinger operators on the half-line with inverse-square potentials, which provide a sharp behaviour in the limit of large…
math.AP2025
Global weak solutions to the Quantum Navier-Stokes system in the whole space with a confining external potential
Jérémy Faupin, Ingrid Lacroix-Violet, Julien Lequeurre
We consider a dissipative quantum fluid on the whole space () confined by an external harmonic potential. The dynamics of the quantum fluid is described by…
math-ph2025
Levinson's theorem for dissipative systems, or how to count the asymptotically disappearing states
A. Alexander, J. Faupin, S. Richard
We consider dissipative Schroedinger operators of the form on , with a complex, bounded and decaying potential with a non-positive imaginary p…