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

Pristupni kolegiji - Regular study - Mathematics