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Boundary Value Problems for Elliptic Wedge Operators: The First-Order Case

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Book cover Elliptic and Parabolic Equations

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 119))

Abstract

This chapter is a description of some of the results obtained by the authors in connection with the problem in the title. These, discussed following a summary of background material concerning wedge differential operators, consist of the notion of trace bundle, an extension of the Douglis–Nirenberg calculus to handle spaces of anisotropic varying regularity and associated pseudodifferential operators, and boundary value problems proper, the latter in the first-order case. The concepts concerning the main results are illustrated with simple examples.

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Acknowledgments

This work was partially supported by the National Science Foundation, Grants DMS-0901202 (TK) and DMS-0901173 (GAM).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Pennsylvania State University, 3000 Ivyside Park, Altoona Campus, Altoona, PA, 16601, USA

    Thomas Krainer

  2. Department of Mathematics, Temple University, Philadelphia, PA, 19122, USA

    Gerardo A. Mendoza

Authors
  1. Thomas Krainer
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  2. Gerardo A. Mendoza
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Corresponding author

Correspondence to Thomas Krainer .

Editor information

Editors and Affiliations

  1. Institute for Applied Mathematics, Leibniz University of Hannover, Hannover, Germany

    Joachim Escher

  2. Institute for Analysis, Leibniz University of Hannover, Hannover, Germany

    Elmar Schrohe

  3. Department of Mathematics, University of Torino, Torino, Torino, Italy

    Jörg Seiler

  4. Institute for Applied Mathematics, Leibniz University of Hannover, Hannover, Germany

    Christoph Walker

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Krainer, T., Mendoza, G. (2015). Boundary Value Problems for Elliptic Wedge Operators: The First-Order Case. In: Escher, J., Schrohe, E., Seiler, J., Walker, C. (eds) Elliptic and Parabolic Equations. Springer Proceedings in Mathematics & Statistics, vol 119. Springer, Cham. https://doi.org/10.1007/978-3-319-12547-3_9

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