**Lectures on Periodic Homogenization of Elliptic Systems**

by Zhongwei Shen

**Publisher**: arXiv.org 2017**Number of pages**: 246

**Description**:

In recent years considerable advances have been made in quantitative homogenization of partial differential equations in the periodic and non-periodic settings. This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients...

Download or read it online for free here:

**Download link**

(2.2MB, PDF)

## Similar books

**Lectures on Elliptic Partial Differential Equations**

by

**J.L. Lions**-

**Tata Institute of Fundamental Research**

In these lectures we study the boundary value problems associated with elliptic equation by using essentially L2 estimates (or abstract analogues of such estimates). We consider only linear problem, and we do not study the Schauder estimates.

(

**4928**views)

**Linear Partial Differential Equations and Fourier Theory**

by

**Marcus Pivato**-

**Cambridge University Press**

Textbook for an introductory course on linear partial differential equations and boundary value problems. It also provides introduction to basic Fourier analysis and functional analysis. Written for third-year undergraduates in mathematical sciences.

(

**21847**views)

**Hilbert Space Methods for Partial Differential Equations**

by

**R. E. Showalter**-

**Pitman**

Written for beginning graduate students of mathematics, engineering, and the physical sciences. It covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, etc.

(

**10011**views)

**Lectures on Partial Differential Equations**

by

**G.B. Folland**-

**Tata Institute of Fundamental Research**

The purpose of this course was to introduce students to the applications of Fourier analysis -- by which I mean the study of convolution operators as well as the Fourier transform itself -- to partial differential equations.

(

**4191**views)