Partial differential equations


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Partial differential equations

Code: 155705
ECTS: 6.0
Lecturers in charge: prof. dr. sc. Boris Muha
prof. dr. sc. Josip Tambača
Take exam: Studomat

1. komponenta

Lecture typeTotal
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.

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
1. semester
Pristupni kolegiji - Regular study - Mathematics
Consultations schedule: