Elliptic Boundary Value Problems With Fractional Regularity Data: The First Order Approach - Couverture rigide

Amenta, Alex; Auscher, Pascal

 
9781470442507: Elliptic Boundary Value Problems With Fractional Regularity Data: The First Order Approach

Synopsis

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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À propos de l?auteur

Alex Amenta, Delft University of Technology, The Netherlands.

Pascal Auscher, Universite Paris-Sud, Orsay, France.

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