论文标题
在封闭歧管上的差分运算符的基本偏爱方面
On essential-selfadjointness of differential operators on closed manifolds
论文作者
论文摘要
本说明的目的是提出一些论点，导致猜想是在封闭歧管上正式的自动差异操作员实质上是自我偶像，并且仅当其符号的哈密顿流量完成时。这适用于圈子上第二学位的差分运算符，对于任何封闭的多种歧视中的第一学位的差分运算符和表面上通用的洛伦兹拉普拉斯人。
The goal of this note is to present some arguments leading to the conjecture that a formally self-adjoint differential operator on a closed manifold is essentially self-adjoint if and only if the Hamiltonian flow of its symbol is complete. This holds for differential operators of degree two on the circle, for differential operators of degree one on any closed manifold and for generic Lorentzian Laplacians on surfaces.
