Spectral inequalities of the Laplacian on a curved tube with varying cross section
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this note, we consider a curved tube with varying cross-section formed by rotating open bounded Euclidean domains with respectto a reference curve, and successfully give a lower bound to the thresholdof the Laplacian on the tube, subject to Dirichlet boundary conditionson the surface and Neumann conditions at the ends of the tube. Thisgeneralizes the corresponding result in [1].
Abstract
In this note, we consider a curved tube with varying cross-section formed by rotating open bounded Euclidean domains with respectto a reference curve, and successfully give a lower bound to the thresholdof the Laplacian on the tube, subject to Dirichlet boundary conditionson the surface and Neumann conditions at the ends of the tube. Thisgeneralizes the corresponding result in [1].
참고문헌 (1)
- P. Exner, "A lower bound to the spectral threshold in curved tubes", R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci, 460(2052), pp.3457~3467 (2004)