Instructor: Justin Holmer

Lectures: TuTh 12:30-2:00pm, Room 31 Evans

Course Control Number: 54928

Office: 849 Evans, e-mail: holmer (AT) math.berkeley.edu

Office Hours: TBA

Prerequisites: This course is a continuation of Math222a. Math 202a and Math202b, specifically the basics of Lebesgue measure and integration theory and Hilbert space theory, are recommended.

Required Text: L.C. Evans, Partial Differential Equations. See also the errata.

Recommended Reading: I will provide recommended reading as we go along in the course.

Syllabus: We will cover Parts II (linear theory) and III (nonlinear theory) of the text. The topics are: Sobolev spaces and embedding theorems, existence and regularity theory for second-order elliptic, parabolic, and hyperbolic equations, calculus of variations, fixed point methods, Hamilton-Jacobi equations, and systems of conservation laws.

Course Webpage: http://math.berkeley.edu/~holmer/teaching/s222b/.

Grading: 100% homework.

Homework: Homework will be assigned each week and due the following week. Each assignment will consist of a few required problems and a few optional problems. Only the required problems will be graded.

Comments: The emphasis of this course is on theory, not applications. Math 220, "Methods of Applied Mathematics" and Math 224B, "Mathematical Methods for the Physical Sciences" are PDE courses with emphasis on applications.