[ 201OPTICOVV22 ] VL Calculus of Variation

Es ist eine neuere Version 2023W dieser LV im Curriculum Bachelor's programme Technical Mathematics 2024W 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 2022W
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
Further information Until term 2022S known as: TM1WGVOVARI VL Calculus of variation
Earlier variants They also cover the requirements of the curriculum (from - to)
TM1WGVOVARI: VO Calculus of variation (1999W-2022S)
On-site course
Maximum number of participants -
Assignment procedure Direct assignment