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Nonlinear analysis and applications 2

Code: 92935
ECTS: 5.0
Lecturers in charge: doc. dr. sc. Marko Erceg - Lectures
Lecturers: doc. dr. sc. Marko Erceg - Exercises
Load:

1. komponenta

Lecture typeTotal
Lectures 30
Exercises 15
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES: The goal of the course is to introduce students to further methods of nonlinear analysis: differentiable mappings, method of monotone operators, variational method and to present the applications of the developed theory to the analysis of partial differential equations.

COURSE DESCRIPTION AND SYLLABUS:
- Differentiable mappings, inverse and implicit function theorems, bifurcations (5 weeks)
- Monotone operators, super-solutions and sub-solutions, iterations, variational inequalities (4 weeks)
- Variational methods, extrema, Lagrange multipliers (3 weeks)
- Applications to boundary value problems for partial differential equations (3 weeks).

TEACHING AND ASSESSMENT METHODS: Students should attend 70% of all lectures and tutorials, pass all mid-term exams and have to do 70% of their homework. Final exam is in written or oral form. Final grade is a combination of grades obtained in mid-term exams, homework and the final exam.
Literature:
  1. P. Drabek, J. Milota: Methods of Nonlinear Analysis
  2. K.-C. Chang: Methods in Nonlinear Analysis
  3. E. Zeidler: Nonlinear Functional Analysis and its Applications, I-IV
Prerequisit for:
Enrollment :
Passed : Nonlinear analysis and applications 1
1. semester
Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

2. semester
Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

3. semester
Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

4. semester
Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics
Consultations schedule: