Program
Introduction to the Theory of Homogenization
Student No.:50
Time:Tue 13:00-14:50, 2017-02-21~ 2017-06-06 (No classes on public holidays)
Instructor:Wenjia Jing  [Tsinghua University]
Place:Conference Room 3, Floor 2, Jin Chun Yuan West Building
Starting Date:2017-2-21
Ending Date:2017-6-6
 

 

Description:

 

 

We will study several important results in the classical theory of periodic homogenization:

 

 

1. The periodic homogenization theory for second order linear elliptic equations.

 

 

2. The compactness method for uniform estimates in homogenization.

 

 

3. The periodic homogenization theory for first order Hamilton-Jacobi equations.

 

 

 

Prerequisite:

 

 

Calculus, linear algebra, basic knowledge of functional analysis and partial differential equations.

 

 

 

Reference:

 

 

1. A. Bensoussan, J.L. Lions and G. Papanicolaou, Asymptotic analysis for periodic structures, Studies in mathematics and its applications, vol. 5, North-Holland Publishing Company, 1978.

 

 

2. M. Avellaneda and F.H. Lin, Compactness methods in the theory of Homogenization. Comm. Pure Appl. Math. 40 (1987), no. 6, 803-843.

 

 

3. Lions, Papanicolaou and Varadhan, Homogenization of Hamilton-Jacobi equations, unpublished notes.