MATH 673, PARTIAL DIFFERENTIAL EQUATIONS I

FALL 2017

Instructor: Konstantina Trivisa:
Office: 3307 Mathematics Bldg
Phone: (301) 405-6865
Office Hours: (Fall 2017) Tu, Th 9:15 - 10:30 or by appointment.
Email: trivisa@math.umd.edu
An introduction to the classical theory of PDE. The focus will be on developing basic techniques to treat second order linear PDE such as the Laplace equation, the heat equation and the wave equation, as well as first order nonlinear PDE. The second semester will treat modern methods for PDEs (distributions, functional analysis, Sobolev spaces, bounded and compact operators in Hilbert spaces).

Prerequisites:
MATH 411 or equivalent.

Main Text:

Further reading
Elliptic partial differential equations of second order by D. Gilbarg and N.  Trudinger
Partial Differential Equations by F. John
An Introduction to Partial Differential Equations by M. Renardy and C. Rogers
Partial Differential Equations by W. Strauss


Class Times: Tuesday and Thursday: 11:00am - 12:15pm.

Location: MTH 1311


Grading (approximate):

MIDTERM
The midterm exam for the class will be given on Thursday November 2 (in class).

FINAL
The final exam for the class will be a take-home exam.

Assignments: Homeworks will be assigned and collected.