Periodic Homogenization of Elliptic Systems: 269 (Advances in Partial Differential Equations) - Tapa dura

Libro 115 de 132: Operator Theory: Advances and Applications

Shen, Zhongwei

 
9783319912134: Periodic Homogenization of Elliptic Systems: 269 (Advances in Partial Differential Equations)

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Otras ediciones populares con el mismo título

9783030081997: Periodic Homogenization of Elliptic Systems: 269 (Advances in Partial Differential Equations)

Edición Destacada

ISBN 10:  3030081990 ISBN 13:  9783030081997
Editorial: Birkhäuser, 2019
Tapa blanda