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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure

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

Auscher, Pascal
Egert, Moritz

Hardcover

Series: Progress in Mathematics, Book 346

General Mathematics

ISBN10: 3031299728
ISBN13: 9783031299728
Publisher: Birkhauser
Published: Jul 28 2023
Pages: 310
Weight: 1.39
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English

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.

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