具有不同尺度增长率极限的流形上的极限吸收原理
Limiting absorption principle on manifolds having ends with various measure growth rate limits
摘要：
研究了具有不同端点的非紧完备黎曼流形上Laplace-Beltrami算子的预解式的性质，其中每个端点在无穷远处的黎曼测度的增长率具有不同的极限，特别是讨论了极限吸收原理.结果得到了Laplace-Beltrami算子的绝对连续性。
英文摘要：
The purpose of this paper is to study the property of the resolvent of the Laplace-Beltrami operator on a noncompact complete Riemannian manifold with various ends each of which has a different limit of the growth rate of the Riemannian measure at infinity, in particular, focusing on the limiting absorption principle. As a result, we will obtain the absolute continuity of the Laplace-Beltrami operator.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
