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Harmonic Analysis for General First Order Differential Operators in Lipschitz Domains

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Clifford Algebras

Part of the book series: Progress in Mathematical Physics ((PMP,volume 34))

Abstract

We develop a function theory associated with non-elliptic, variable co-efficient operators of Dirac type on Lipschitz domains. Boundary behavior, global regularity, integral representation formulas, are studied by means of tools originating in PDE and harmonic analysis.

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Author information

Authors and Affiliations

  1. Instituto de Matemáticas, Unidad Cuernavaca Universidad Nacional AutÓnoma de México (UNAM), A.P. 273-3 ADMON 3, Cuernavaca, Mor, 62251, México

    Emilio Marmolejo-Olea

  2. Department of Mathematics, University of Missouri-Columbia, Columbia, MO, 65211, USA

    Marius Mitrea

Authors
  1. Emilio Marmolejo-Olea
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  2. Marius Mitrea
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Tennessee Technological University, 5054, TN 38505, Cookeville, USA

    Rafał Abłamowicz

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© 2004 Birkhäuser Boston

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Marmolejo-Olea, E., Mitrea, M. (2004). Harmonic Analysis for General First Order Differential Operators in Lipschitz Domains. In: Abłamowicz, R. (eds) Clifford Algebras. Progress in Mathematical Physics, vol 34. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2044-2_6

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  • DOI: https://doi.org/10.1007/978-1-4612-2044-2_6

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-3525-1

  • Online ISBN: 978-1-4612-2044-2

  • eBook Packages: Springer Book Archive

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