Elliptic Boundary Value Problems with Fractional Regularity Data

Elliptic Boundary Value Problems with Fractional Regularity Data
Author :
Publisher : American Mathematical Soc.
Total Pages : 162
Release :
ISBN-10 : 9781470442507
ISBN-13 : 1470442507
Rating : 4/5 (07 Downloads)

Book Synopsis Elliptic Boundary Value Problems with Fractional Regularity Data by : Alex Amenta

Download or read book Elliptic Boundary Value Problems with Fractional Regularity Data written by Alex Amenta and published by American Mathematical Soc.. This book was released on 2018-04-03 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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