Partial differential equations 2

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Code:	45681
ECTS:	5.0
Lecturers in charge:	prof. dr. sc. Nenad Antonić - Lectures
Lecturers:	Matko Grbac, mag. math. - Exercises
English level: 1,0,0	All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.

Load:

1. komponenta

Lecture type Total

Lectures 30

Exercises 15

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

Description:

COURSE AIMS AND OBJECTIVES: Introducing students to systems of partial differential equations, and further properties and modern solution techniques for partial differential equations.

COURSE DESCRIPTION AND SYLLABUS:
[1-4] Elementary (fundamental) solutions, application of Fourier and Laplace transform, Malgrange-Ehrenprise theorem.
[5-8] Systems of equations, conservation laws.
[9-12] Variational theory for Poisson (elliptic) equation, symmetric hyperbolic systems.

Literature:

J. Rauch: Partial differential equations
H. Brezis: Functional analysis, Sobolev spaces and partial differential equations
S. Salsa: Partial differential equations in action: From modelling to theory
N. Antonić, M. Vrdoljak: Mjera i integral
L. C. Evans: Partial differential equations (2nd ed)
L. Hörmander: Linear partial differential operator
L. Tartar: An introduction to Sobolev spaces and interpolation spaces
F. Treves: Basic linear partial differential equations

Prerequisit for:

Enrollment :
Passed : Partial differential equations 1

1. semester

Izborni predmet 1, 2, 3, 4 - Regular study - Mathematical Statistics

2. semester

Izborni predmet 1, 2, 3, 4 - Regular study - Mathematical Statistics

3. semester

Izborni predmeti 5, 6, 7 - Regular study - Mathematical Statistics

4. semester

Izborni predmeti 5, 6, 7 - Regular study - Mathematical Statistics

Consultations schedule:

prof. dr. sc. Nenad Antonić:
Monday 2-3 pm

Tuesday noon-1pm

or by appointment
Location: 218

Content

Link to the course web page: https://web.math.pmf.unizg.hr/~nenad/pdj.html

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Partial differential equations 2

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