Strong and weak semiclassical limits for some rough Hamiltonians
Abstract
We present several results concerning the semiclassical limit of the time dependent Schrödinger equation with potentials whose regularity doesn't guarantee the uniqueness of the underlying classical flow. Different topologies for the limit are considered and the situation where two bicharateristics can be obtained out of the same initial point is emphasized.
Domains
Analysis of PDEs [math.AP]
Origin : Files produced by the author(s)