Description

In this monograph the authors study 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 and thus allows for complex coefficients and for systems of equations.

This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.

Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach

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Hardback by Alex Amenta , Pascal Auscher

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In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems... Read more

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

    Number of Pages: 152

    Non Fiction , Mathematics & Science , Education

    Description

    In this monograph the authors study 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 and thus allows for complex coefficients and for systems of equations.

    This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.

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