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Cone Conormal Asymptotics

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Partial Differential Equations and Spectral Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 126))

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Abstract

Asymptotic types for cone conormal asymptotics are constructed refining Schulze’s notion of discrete asymptotic type. This extends previous joint work with Liu Xiaochun (Wuhan University) for the case of Fuchsian differential operators to general cone pseudodifferential operators.

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References

  1. X. Liu, A cone pseudo-differential calculus on the half-line with respect to conormal asymptotics of a given type. Ph.D. thesis, Wuhan University, Wuhan, 2000.

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  2. X. Liu and I. Witt, Asymptotic expansions for bounded solutions to semilinear Fuchsian equations. Preprint 2001/01 Institute of Mathematics, University of Potsdam, Potsdam, 2001.

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  4. B.-W. Schulze, Pseudo-Differential Operators on Manifolds with Singularities. Stud. Math. Appl., Vol. 24, North-Holland, Amsterdam, 1991.

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  5. B.-W. Schulze, Boundary Value Problems and Singular Pseudo-differential Operators. Wiley Ser. Pure Appl. Math., J. Wiley, Chichester, 1998.

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  6. I. Witt, Explicit algebras with the Leibniz-Mellin translation product. Preprint 99/2,Institute of Mathematics, University of Potsdam,Potsdam, 1999.

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  7. I. Witt, On the factorization of meromorphic Mellin symbols. To appear in: Advances in Partial Differential Equations.

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  8. I. Witt, Asymptotic algebras. Submitted to: Proceedings of the Workshop “Microlocal Analysis and Asymptotic Analysis of PDE,” RIMS Kyoto, Oct. 16–20, 2000.

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Author information

Authors and Affiliations

  1. University of Potsdam, Institute of Mathematics, PF 60 15 53, Potsdam, D-14415, Germany

    Ingo Witt

Authors
  1. Ingo Witt
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, TU Clausthal, Erzstr. 1, Clausthal-Zellerfeld, 38678, Germany

    Michael Demuth

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

    Bert-Wolfgang Schulze

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© 2001 Springer Basel AG

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Witt, I. (2001). Cone Conormal Asymptotics. In: Demuth, M., Schulze, BW. (eds) Partial Differential Equations and Spectral Theory. Operator Theory: Advances and Applications, vol 126. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8231-6_38

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  • DOI: https://doi.org/10.1007/978-3-0348-8231-6_38

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9483-8

  • Online ISBN: 978-3-0348-8231-6

  • eBook Packages: Springer Book Archive

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