Periodic Homogenization of Elliptic Systems - Couverture souple

Livre 115 sur 132: Operator Theory: Advances and Applications

Shen, Zhongwei

 
9783030081997: Periodic Homogenization of Elliptic Systems
Couverture souple
ISBN 10 : 3030081990 ISBN 13 : 9783030081997
Editeur : Birkhäuser, 2019

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhäuser
Date d'édition
2019
Langue
anglais
ISBN 10 
3030081990
ISBN 13 
9783030081997
Reliure
Broché
Nombre de pages
304
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Autres éditions populaires du même titre

9783319912134: Periodic Homogenization of Elliptic Systems

Edition présentée

ISBN 10 :  3319912135 ISBN 13 :  9783319912134
Editeur : Birkhauser Verlag AG, 2018
Couverture rigide