We prove a decay estimate for eigenfunctions of the magnetic Schr\""{o}dinger operator on two dimensional Riemannian manifold $M$. We assume that $M$ is simply connected, rotationally symmetric, and asymptotically hyperbolic.The proof is based on a method developed by S. Nakamura in \cite{Nak1}.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
12
号
3
ページ
319 - 347
発行年
2005-11-17
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathmatical Subject Classification
35P15(MSC1991)
81Q10(MSC1991)
58J50(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
Decay of Magnetic Eigenfunctions on Asymptotically
jms120301.pdf
(227.21KB)
