Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure

by Moritz Egert and Pascal Auscher

In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents. Prior to this work, only the two-dimensional situation was fully understood. In higher dimensions, partial results for existence in smaller ranges of exponents...

• Format: Paperback
• Language: English
• ISBN: 3031299752
• ISBN13: 9783031299759
• Release Date: July 2024
• Publisher: Birkhauser
• Length: 310 Pages