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Clifford Algebras and Boundary Estimates for Harmonic Functions

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Clifford Algebras and their Applications in Mathematical Physics

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 55))

Abstract

A Clifford algebra technique approach for proving boundary estimates for harmonic functions in nonsmooth domains is presented. In particular these estimates are used for studying the Dirichlet and Neumann problems for the Laplace operator on Lipschitz domains in a unified manner.

Current address : Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA

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© 1993 Kluwer Academic Publishers

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Mitrea, M. (1993). Clifford Algebras and Boundary Estimates for Harmonic Functions. In: Brackx, F., Delanghe, R., Serras, H. (eds) Clifford Algebras and their Applications in Mathematical Physics. Fundamental Theories of Physics, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2006-7_18

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  • DOI: https://doi.org/10.1007/978-94-011-2006-7_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-2347-1

  • Online ISBN: 978-94-011-2006-7

  • eBook Packages: Springer Book Archive

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