论文标题
schrödinger方程的基本解决方案的平滑度与轻度捕获
Smoothness of the fundamental solution of Schrödinger equations with mild trapping
论文作者
论文摘要
在此简短的说法中，研究了Schrödinger方程的基本解决方案在完整歧管上的平滑度。结果表明，（1）在“轻度”诱捕条件下，基本解决方案是平滑的； （2）有一个riemannian歧管，等于紧凑型集合外的欧几里得空间，因此基本解决方案不光滑。
In this short note, smoothness of the fundamental solution of Schrödinger equations on a complete manifold is studied. It is shown that (1) the fundamental solution is smooth under "mild" trapping conditions; (2) there is a Riemannian manifold which is equal to Euclidean space outside a compact set such that the fundamental solution is not smooth.
