Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach
- ISBN-10
- 1470442507
- ISBN-13
- 9781470442507
- Category
- Boundary value problems
- Pages
- 152
- Language
- English
- Published
- 2018-04-03
- Publisher
- American Mathematical Soc.
- Authors
- Pascal Auscher, Alex Amenta
Description
A co-publication of the AMS and Centre de Recherches Mathématiques 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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