Welcome to Math 951, Spring 2018

Instructor Geng Chen

Office: 623 Snow Hall

Email: gengchen at ku dot edu

Class meet: Tuesday, Thursday 2:30-3:45 am, Snow Hall 456

Office Hours: Tuesday 11-12 & Wednesday 1-2. Other hours are by appointment.

Textbook: Partial Differential Equations methods and applications, Robert C. Mcowen.

Reference: Partial Differential Equations, Evans; Sobolev Space, Adams.

TA: To be announced

Description of the course:

This is the second semester of the graduate PDE series 950-951. In this class, we will cover the Sobolev space, Linear elliptic theory, Fixed point and semigroups theory, linear and nonlinear diffusion, linear and nonlinear waves. And then system of conservation laws and nonlinear Elliptic equations, if time is permitted. This covers the Chapters 6-13 in Mcowen's book. For the Sobolev spaces and Linear elliptic theory, I will pick up materials from Evans in my lecture.

Homework

There will be 3 to 5 homeworks, to be announced later.

Final Presentation

There will be no exam. You need to give a final presentation in the end of the semester. In the middle of March, I will annouce some reading projects for you. You shall report your understanding on these projects in the end of the semester.

Grade computation

Participate: 20%
Howmwork: 30%
Final presentation: 50%

Your Responsibilities

Although I do want you to work together and help each other out, everything you turn in must be your own work! If in doubt, ask! Cheating of any type will not be tolerated and will be harshly dealt with. Please let me know in advance of any circumstances which may prevent you from attending classes.