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Edge-Degenerate Families of Pseudo-Differential Operators on an Infinite Cylinder

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Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 205))

Abstract

We establish a parameter-dependent pseudo-differential calculus on an infinite cylinder, regarded as a manifold with conical exits to infinity. The parameters are involved in edge-degenerate form, and we formulate the operators in terms of operator-valued amplitude functions.

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References

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Author information

Authors and Affiliations

  1. Institut für Mathematik, Universität Potsdam, Am Neuen Palais 10, 14469, Potsdam, Germany

    J. Abed & B.-W. Schulze

Authors
  1. J. Abed
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  2. B.-W. Schulze
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Universität Potsdam, Am Neuen Palais 10, 14469, Potsdam, Germany

    Bert-Wolfgang Schulze

  2. Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario, M3J 1P3, Canada

    M. W. Wong

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© 2009 Birkhäuser Verlag Basel/Switzerland

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Abed, J., Schulze, BW. (2009). Edge-Degenerate Families of Pseudo-Differential Operators on an Infinite Cylinder. In: Schulze, BW., Wong, M.W. (eds) Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations. Operator Theory: Advances and Applications, vol 205. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0198-6_3

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