Elliptic boundary value problems for Bessel operators,with applications to anti-de Sitter spacetimes |
| |
Authors: | Oran Gannot |
| |
Institution: | Department of Mathematics, Lunt Hall, Northwestern University, Evanston, IL 60208, USA |
| |
Abstract: | This paper considers boundary value problems for a class of singular elliptic operators that appear naturally in the study of asymptotically anti-de Sitter (aAdS) spacetimes. These problems involve a singular Bessel operator acting in the normal direction. After formulating a Lopatinski?? condition, elliptic estimates are established for functions supported near the boundary. The Fredholm property follows from additional hypotheses in the interior. This paper provides a rigorous framework for mode analysis on aAdS spacetimes for a wide range of boundary conditions considered in the physics literature. Completeness of eigenfunctions for some Bessel operator pencils is shown. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|