Description

Book Synopsis
Examines the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called first order approach which uses minimal assumptions on the coefficients.

Table of Contents
  • Introduction
  • Function space preliminaries
  • Operator theoretic preliminaries
  • Adapted Besov-Hardy-Sobolev spaces
  • Spaces adapted to perturbed Dirac operators
  • Classification of solutions to Cauchy-Riemann systems and elliptic equations
  • Applications to boundary value problems
  • Bibliography
  • Index.

    Elliptic Boundary Value Problems with Fractional

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      A Hardback by Alex Amenta, Pascal Auscher

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        View other formats and editions of Elliptic Boundary Value Problems with Fractional by Alex Amenta

        Publisher: American Mathematical Society
        Publication Date: Publication Date: 30/05/2018
        ISBN13: 9781470442507, 978-1470442507
        ISBN10: 1470442507

        Description

        Book Synopsis
        Examines the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called first order approach which uses minimal assumptions on the coefficients.

        Table of Contents
        • Introduction
        • Function space preliminaries
        • Operator theoretic preliminaries
        • Adapted Besov-Hardy-Sobolev spaces
        • Spaces adapted to perturbed Dirac operators
        • Classification of solutions to Cauchy-Riemann systems and elliptic equations
        • Applications to boundary value problems
        • Bibliography
        • Index.

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