**Class
meets:** MW4, 1:40--3:00pm in Hill-423.

**Instructor:**
Dr. Zheng-Chao Han

**Office Hours:
** T11:00-noon, W3:00-4:00pm. Hill 230.

**Email:
**zchan* at * math * dot *rutgers* dot *edu (I prefer to answer math questions
in person during office hours, not through emails; I try to process my emails *once per day *).

**Sakai:** The course will use
Sakai for all material during the semester. All enrolled students should
have automatic access to the site after logging in to Sakai. Current information about syllabus, grading policy, homework and mid-term
assignments will be found there.

Do not forget to "*reload*" the assignments pages - if
you visited them before, your browser may be showing you
only the old cached page.

**Course Description:**
This course will be a continuation of the PDE course, 517, offered
in the fall semester. We will take a similar approach, *i.e.*, we will emphasize the methods than
the most general forms of the results. One main theme will be how to extend the results and methods for dealing
with constant coefficients prototype equations to related variable coefficients and nonlinear equations.
We will continue to use the text being used in 517, ``Partial Differential
Equations" by Lawrence C. Evans. I am planning to focus my discussion around chapters 6--8 and 3--4,
and perhaps supplementing with some material not contained in the text.
Students' input may affect my emphasis and order of presentation.
Students should be prepared to do some reading and working
of certain sections on their own.

- Graded homework: 50%.
- Midterm and Final Exam: 25% each.

**Course Material:**
In addition to our main text
"*Partial Differential Equations*" by Lawrence C. Evans, published by AMS, 2002, I will also
suggest other references whenever I find them useful.
The course page
of Professor Safanov of the University of Minnesota provides another perspective
on a graduate PDE course and many additional problems for students to try on.
I have also requested to put some additional books on reserve in the math library, including:

- Emmanuele Dibenedetto,
*Partial Differential Equations*, Springer Verlag; (April 1995), ISBN: 0817637087. - D. Gilbarg and N Trudinger,
*Elliptic Partial Differential Equations of Second Order*, Springer 2001, ISBN-10: 3540411607. - F. John,
*Partial Differential Equations*, 4th ed., Springer-Verlag, 1982, ISBN-10: 0387906096. - N. V. Krylov,
*Lectures on Elliptic and Parabolic Equations in Holder Space*, American Mathematical Society, 1996, ISBN: 0-8218-0569-X. - Robert McOwen,
*Partial Differential Equations: Methods and Applications*, Second Edition, 2003, ISBN 0130093351. - Michael Renardy and Robert C. Rogers,
*An Introduction to Partial Differential Equations*, Springer; 2 edition (January 8, 2004), ISBN: 0387004440.