Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure is popular PDF and ePub book, written by Pascal Auscher in 2023-08-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure can be Read Online from any device for your convenience.
Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure Book PDF Summary
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. The first part of the monograph, which can be read independently, provides optimal ranges of exponents for functional calculus and adapted Hardy spaces for the associated boundary operator. Methods use and improve, with new results, all the machinery developed over the last two decades to study such problems: the Kato square root estimates and Riesz transforms, Hardy spaces associated to operators, off-diagonal estimates, non-tangential estimates and square functions, and abstract layer potentials to replace fundamental solutions in the absence of local regularity of solutions.
Detail Book of Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure PDF
- Author : Pascal Auscher
- Release : 28 August 2023
- Publisher : Springer Nature
- ISBN : 9783031299735
- Genre : Mathematics
- Total Page : 310 pages
- Language : English
- PDF File Size : 11,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure by Pascal Auscher, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.
