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

Name: Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure
Brand: Springer, Berlin
SKU: 9783031299728
Price: 49803 HUF
Availability: InStock

Szerző: Pascal Auscher, Moritz Egert

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer, Berlin

Elérhetőség: Beszállítói készleten

Küldés 10-13 napon belül

49 803 Ft

In this monograph, for elliptic systems with block structure in the upper half-space and t-independe...

Információk a könyvről

Szerző

Pascal Auscher, Moritz Egert

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2023

oldal

253

EAN

9783031299728

Enbook ID

43050163

Kiadó

Springer, Berlin

Súly

630

Méretek

155 x 235

Teljes leírás

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.

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

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