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

  • Mao, Jing;Hou, Lanbao
    • Communications of the Korean Mathematical Society
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    • v.28 no.1
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    • pp.177-181
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    • 2013

  • 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].

  • https://doi.org/10.4134/CKMS.2013.28.1.177 인용 PDF KSCI

CONSIDERATION OF IR PHASE-SHIFTING INTERFEROMETRIC SYSTEM FOR TESTING ASTRONOMICAL ASPHERIC MIRROR IN CHINA

  • ZHOU WENGE;CUI XIANGQUN
    • Journal of The Korean Astronomical Society
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    • v.29 no.spc1
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    • pp.403-404
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    • 1996

  • This paper describes a plan of a new IR phace-shfting interferometric system for testing astronomical aspheric mirror which has big departure from the best fit reference sphere during fine grinding. In this experimental system, some new technology will be adopted. The accuracy of system can reach $\lambda$/40($\lambda$=10.6${\mu}m$)

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