Periodic Homogenization of Elliptic Systems

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Éditeur :

Birkhäuser


Collection :

Operator Theory: Advances and Applications

Paru le : 2018-09-04

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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.
Pages
291 pages
Collection
Operator Theory: Advances and Applications
Parution
2018-09-04
Marque
Birkhäuser
EAN papier
9783319912134
EAN PDF
9783319912141

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
29
Taille du fichier
3338 Ko
Prix
105,49 €