arXiv Analytics

Sign in

arXiv:1203.5047 [math.AP]AbstractReferencesReviewsResources

Wigner Measure Propagation and Conical Singularity for General Initial Data

Clotilde Fermanian-Kammerer, Patrick Gérard, Caroline Lasser

Published 2012-03-22Version 1

We study the evolution of Wigner measures of a family of solutions of a Schr\"odinger equation with a scalar potential displaying a conical singularity. Under a genericity assumption, classical trajectories exist and are unique, thus the question of the propagation of Wigner measures along these trajectories becomes relevant. We prove the propagation for general initial data.

Comments: 24 pages, 1 figure
Categories: math.AP
Related articles: Most relevant | Search more
arXiv:0909.2944 [math.AP] (Published 2009-09-16)
The Singular Limit of a Chemotaxis-Growth System with General Initial Data
arXiv:2201.02825 [math.AP] (Published 2022-01-08)
On the convergence from Boltzmann to Navier-Stokes-Fourier for general initial data
arXiv:1006.1148 [math.AP] (Published 2010-06-06, updated 2010-11-02)
Low-Mach-number Euler equations with solid-wall boundary condition and general initial data

Links

Toolbox