[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2013.28.1.177

SPECTRAL INEQUALITIES OF THE LAPLACIAN ON A CURVED TUBE WITH VARYING CROSS SECTION

Mao, Jing (Departamento de Matematica Instituto Superior Tecnico Technical University of Lisbon)
Hou, Lanbao (School of Mathematics and Physics JingChu University of Technology)

Publication Information

Communications of the Korean Mathematical Society / v.28, no.1, 2013 , pp. 177-181 More about this Journal

Abstract

In this note, we consider a curved tube with varying cross-section formed by rotating open bounded Euclidean domains with respect to a reference curve, and successfully give a lower bound to the threshold of the Laplacian on the tube, subject to Dirichlet boundary conditions on the surface and Neumann conditions at the ends of the tube. This generalizes the corresponding result in [1].

Keywords

spectral threshold; curved tubes; cross section; Bessel function;

Citations & Related Records

Reference

1	P. Exner, P. Freitas, and D. Krejcirlk, A lower bound to the spectral threshold in curved tubes, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 460 (2004), no. 2052, 3457-3467. DOI ScienceOn