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Elliptic Equations in Polyhedral Domains - AMS Monograph

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Description

This academic monograph provides the first systematic treatment of elliptic boundary value problems within polyhedral domains. Published by the American Mathematical Society, this text is a specialized resource for researchers and professionals in the mathematical sciences. The content focuses on the Dirichlet problem for linear strongly elliptic systems of arbitrary order. It also covers Neumann and mixed boundary value problems for second order systems, along with boundary value problems related to stationary Stokes and Navier-Stokes systems. A central aspect of this work is the systematic application of Green's matrices. By utilizing estimates for the elements of these matrices, the authors establish essential solvability and regularity theorems for the solutions. This makes the book a vital reference for those studying advanced mathematical analysis and partial differential equations.

Key Features

Provides the first systematic treatment of elliptic boundary value problems specifically in domains of polyhedral type.

Covers the Dirichlet problem for linear strongly elliptic systems of any arbitrary order.

Includes detailed analysis of Neumann and mixed boundary value problems for second order systems.

Addresses boundary value problems for the stationary Stokes and Navier-Stokes systems.

Utilizes a systematic approach with Green's matrices to obtain solvability and regularity theorems.

Product Specifications

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

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No barcode data available

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