Title: Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach
Publisher: American Mathematical Society
Publication Date: 2018
Language: English
ISBN 10: 1470442507
ISBN 13: 9781470442507
Binding: Hardcover
Condition: New

About this title

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.

About the Author

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

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