Boundary Value Problems and Hardy Spaces for Elliptic Systems With Block Structure
Boundary Value Problems and Hardy Spaces for Elliptic Systems With Block Structure
English | 2023 | ISBN: 3031299728 | 310 Pages | PDF EPUB (True) | 25 MB
English | 2023 | ISBN: 3031299728 | 310 Pages | PDF EPUB (True) | 25 MB
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 and for a subclass of such systems had been established. The presented uniqueness results are completely new, and the authors also elucidate optimal ranges for problems with fractional regularity data.