Elliptic Boundary Value Problems with Fractional Regularity Data

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Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach
by Alex Amenta and Pascal Auscher
English | 2018 | ISBN: 1470442507 | 161 Pages | PDF | 1.12 MB

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.

Alex Amenta, Delft University of Technology, The Netherlands. Pascal Auscher, Universite Paris-Sud, Orsay, France.

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