Operators with Periodic Hamiltonian Flows in Domains with the Boundary

Details Operators with Periodic Hamiltonian Flows in Domains with the Boundary Operators with Periodic Hamiltonian Flows in Domains with the Boundary

2010-05-06

arxiv.org/abs/1005.0936v1

Mathematics

Analysis of PDEs

22 pp, 4 figs

Scientific paper

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.

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