Operators with Periodic Hamiltonian Flows in Domains with the Boundary
Analysis of PDEs
2010-05-07 v1 Dynamical Systems
Spectral Theory
Abstract
We consider operators in the domains with the boundaries and derive sharp spectral asymptotics (containing non-Weyl correction) in the case when Hamiltonian flow is periodic. Even if operator is scalar but not second order (or even second-order but there is an inner boundary with both refraction and reflection present) Hamiltonian flow is branching on the boundary and the notion of periodicity becomes more complicated.
Cite
@article{arxiv.1005.0936,
title = {Operators with Periodic Hamiltonian Flows in Domains with the Boundary},
author = {Victor Ivrii},
journal= {arXiv preprint arXiv:1005.0936},
year = {2010}
}
Comments
22 pp, 4 figs