Es ist eine neuere Version 2025W dieser LV im Curriculum Master's programme Computational Mathematics 2025W vorhanden.
Workload
Education level
Study areas
Responsible person
Hours per week
Coordinating university
3 ECTS
B3 - Bachelor's programme 3. year
Mathematics
Paul Müller
2 hpw
Johannes Kepler University Linz
Detailed information
Original study plan
Bachelor's programme Technical Mathematics 2023W
Objectives
Students will be able to apply the direct methods of the calculus of variations to obtain solutions to a variaty of nonlinear PDE problems of Euler Lagrange type.
Subject
The calculus of variations provides existence of solutions to the class of Euler Lagrange equations which are typically nonlinear equations of divergence type. The methods covered in this course include: Dirichlet principle, Lagrangians, coercivity, convexity, existence of minimizers, critical point methods, mountain pass theorems, Palais-Smale conditions.
Criteria for evaluation
Oral exam
Methods
Blackboard presentation
Language
English and French
Study material
weakly handouts by the lecturer
L. C. Evans: PDE (Chapter 8)
Changing subject?
No
Earlier variants
They also cover the requirements of the curriculum (from - to) TM1WGVOVARI: VO Calculus of variation (1999W-2022S)
