Spectral Properties of the Laplacian in the Complement of a Deformed Cylinder

  • Walter Littman


We prove the absence of eigenvalues in the continuous spectrum for the Dirichlet problem for the Laplacian in the complement of a deformed cylinder.


Dirichlet Problem Positive Real Axis Nonhomogeneous Equation Sommerfeld Radiation Condition Connected Complement 
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  1. 1.
    Wilcox, C. Scattering theory for the d’Alembert equation in exterior domains, Lecture Notes in Mathematics 442, Springer-Verlag, Berlin, 1975.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Walter Littman
    • 1
  1. 1.Department of MathematicsUniversity of MinnesotaMinneapolisUSA

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