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

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

Part of the CRM Monograph Series series

Hardback

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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