Periodic Homogenization of Elliptic Systems: 269 (Operator Theory: Advances and Applications, 269) - Image 1

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Birkhauser Periodic Homogenization of Elliptic Systems: 269 (Operator Theory: Advances and Applications, 269)

Name: Periodic Homogenization of Elliptic Systems: 269 (Operator Theory: Advances and Applications, 269)
Brand: Birkhauser
Price: 86.13 GBP
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Applied Mathematics

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Description

This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain. It begins with a review of the classical qualitative homogenization theory, and addresses the problem of convergence rates of solutions. The main body of the monograph investigates various interior and boundary regularity estimates that are uniform in the small parameter e>0. Additional topics include convergence rates for Dirichlet eigenvalues and asymptotic expansions of fundamental solutions, Green functions, and Neumann functions. The monograph is intended for advanced graduate students and researchers in the general areas of analysis and partial differential equations. It provides the reader with a clear and concise exposition of an important and currently active area of quantitative homogenization. From the Back Cover This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain. It begins with a review of the classical qualitative homogenization theory, and addresses the problem of convergence rates of solutions. The main body of the monograph investigates various interior and boundary regularity estimates that are uniform in the small parameter e>0. Additional topics include convergence rates for Dirichlet eigenvalues and asymptotic expansions of fundamental solutions, Green functions, and Neumann functions. The monograph is intended for advanced graduate students and researchers in the general areas of analysis and partial differential equations. It provides the reader with a clear and concise exposition of an important and currently active area of quantitative homogenization.

Product Specifications

Brand: Birkhauser
Format: paperback
ASIN: 3030081990
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 24 January 2019
Listed Since: 23 January 2019

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Birkhauser Periodic Homogenization of Elliptic Systems: 269 (Operator Theory: Advances and Applications, 269)

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