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Elliptic Equations in Polyhedral Domains - Mathematical Surveys

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£125.00 £85.71 £94.28 £102.85 £111.43 £120.00 £128.57 27 July 2026 13 August 2026 31 August 2026 17 September 2026 05 October 2026
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Description

This comprehensive monograph provides the first systematic treatment of elliptic boundary value problems in polyhedral domains. The authors present their recent research on the Dirichlet problem for linear strongly elliptic systems of arbitrary order, along with Neumann and mixed boundary value problems for second order systems. The work extensively covers boundary value problems for stationary Stokes and Navier-Stokes systems. A defining feature is the systematic application of Green's matrices throughout, using estimates for their elements to establish solvability and regularity theorems for solutions. Published by the American Mathematical Society as part of the Mathematical Surveys and Monographs series, this volume serves as an essential reference for researchers and graduate students in partial differential equations, functional analysis, and applied mathematics.

Key Features

The monograph addresses Dirichlet problems for linear strongly elliptic systems of arbitrary order in polyhedral domains with rigorous mathematical treatment.

Neumann and mixed boundary value problems for second order systems receive comprehensive coverage with detailed theoretical development and applications.

Green's matrices form the systematic foundation for the analysis, with element estimates providing key insights into solution behaviour.

Stationary Stokes and Navier-Stokes boundary value problems are thoroughly examined with methods applicable to fluid dynamics and viscous flow analysis.

Published by the American Mathematical Society as part of the Mathematical Surveys and Monographs series for academic and professional reference.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 April 2010
Listed Since
15 February 2010

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