Abstract
We prove the absence of eigenvalues in the continuous spectrum for the Dirichlet problem for the Laplacian in the complement of a deformed cylinder.
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Bibliography
Wilcox, C. Scattering theory for the d’Alembert equation in exterior domains, Lecture Notes in Mathematics 442, Springer-Verlag, Berlin, 1975.
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Dedicated to James Serrin
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© 1989 Springer-Verlag Berlin Heidelberg
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Littman, W. (1989). Spectral Properties of the Laplacian in the Complement of a Deformed Cylinder. In: Analysis and Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83743-2_23
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DOI: https://doi.org/10.1007/978-3-642-83743-2_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50917-2
Online ISBN: 978-3-642-83743-2
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