有界区域中具有周期Hamilton流的算子
Operators with Periodic Hamiltonian Flows in Domains with the Boundary
摘要:
我们考虑的边界域中的运营商,并获得尖锐的谱渐近(包含非Weyl校正)的情况下,当哈密尔顿流是周期性的。即使算子是标量的但不是二阶的(或者甚至是二阶的但存在折射和反射的内边界),哈密顿流在边界上分支,周期性的概念变得更加复杂。
英文摘要:
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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