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Advances in Partial Differential Equations

Periodic Homogenization of Elliptic Systems

Authors: Shen, Zhongwei

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  • Provides a clear and concise exposition of an important and active area
  • Contains a review of the classical theory of qualitative homogenization, and addresses the problem of convergence rates of solutions
  • Includes convergence rates for Dirichlet eigenvalues and asymptotic expansions of fundamental solutions, Green functions, and Neumann functions
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About this book

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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-3-319-91214-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-91213-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-3-030-08199-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Periodic Homogenization of Elliptic Systems
Authors
Series Title
Advances in Partial Differential Equations
Series Volume
269
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-91214-1
DOI
10.1007/978-3-319-91214-1
Hardcover ISBN
978-3-319-91213-4
Softcover ISBN
978-3-030-08199-7
Series ISSN
2504-3587
Edition Number
1
Number of Pages
IX, 291
Topics

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