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New results on wave diffraction by canonical obstacles

  • Conference paper
The Maz’ya Anniversary Collection

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 110))

Abstract

Reaching back to A. SOMMMERFELD’S habilitation thesis [30] in 1896 mathematical diffraction theory started by formulating boundary and transmission problems for wave equations in canonical domains with semi-infinite boundaries, like planes, wedges, halfplanes, cones, octants etc. During the last decade different boundary-transmission conditions were involved and explicit form solutions found using integral transforms and factorization techniques for Fourier symbols.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Technical University Darmstadt, Schloßgartenstraße 7, 64289, Darmstadt, Germany

    Erhard Meister, Alexander Passow & Klaus Rottbrand

Authors
  1. Erhard Meister
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  2. Alexander Passow
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  3. Klaus Rottbrand
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Rostock, D-18051, Rostock, Germany

    Jürgen Rossmann , Peter Takáč  & Günther Wildenhain ,  & 

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Meister, E., Passow, A., Rottbrand, K. (1999). New results on wave diffraction by canonical obstacles. In: Rossmann, J., Takáč, P., Wildenhain, G. (eds) The Maz’ya Anniversary Collection. Operator Theory: Advances and Applications, vol 110. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8672-7_14

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  • DOI: https://doi.org/10.1007/978-3-0348-8672-7_14

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9725-9

  • Online ISBN: 978-3-0348-8672-7

  • eBook Packages: Springer Book Archive

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