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      Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains
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      Chapter

      Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains

      DOI link for Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains

      Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains book

      Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains

      DOI link for Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains

      Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains book

      ByMarius Mitrea, Rodolfo H. Torres, Grant V. Welland
      BookClifford Algebras in Analysis and Related Topics

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      Edition 1st Edition
      First Published 1999
      Imprint CRC Press
      Pages 12
      eBook ISBN 9781315139548
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      ABSTRACT

      Solutions to boundary values problems for Maxwell’s equations are described using the layer potential Maxwell operator. The Maxwell, electric and magnetic boundary value problems for time harmonic electromagnetic wave propagation have unique solutions in C 1 domains and satisfy optimal estimates. Sobolev-Besov regularity results hold for domains with Lipschitz boundaries. Also, multipole expansion methods can be used to approximate L p tangential vector fields on the boundaries of domains which are only Lipschitz.

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