1. komponenta

Lecture type	Total
Lectures	60

* Load is given in academic hour (1 academic hour = 45 minutes)

AIMS OF THE PROPOSED COURSE: The goal of this course is to introduce the students to modern theory of partial differential equations and to prepare students for the qualifying exam.

SYLLABUS:
1. Motivation and examples of partial differential equations.
2. Classification of partial differential equations.
3. Classical and weak solutions.
4. Weak derivatives. Sobolev spaces.
5. Linear equations.
6. Non-linear equations.

1. Partial differential equations, AMS Graduate studies in mathematics, Vol 19, L. C. Evans, AMS, 1998.
2. An introduction to partial differential equations, Texsts in applied mathematics, Vol 13, M. Renardy, R. Rogers, Springer, 1993.
3. Partial differential equations, J. Rauch, Springer, 1991.
4. Functional analysis, Sobolev spaces and partial differential equations, H. Brezis, Springer, 2011.

Pristupni kolegiji - Regular study - Mathematics