Es ist eine neuere Version 2023W dieser LV im Curriculum Master's programme Industrial 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 2009W
Objectives
Mastering of the central techniques concerning the direct methods of calculus of Variations and critical point methods. Applications to (systems of) Euler Lagrange Equations ( linear or non linear)
Subject
Euler Lagrange Equations
Variational Integrals
Weak lower semicontinuity
Existence of weak solutions
Minimization with Constraints
Moutain Pass theorem,
Palais Smale conditions
Polyconvexity and non linear elasticity
Criteria for evaluation
exam
Methods
Real and Functionalanalysis
Geometric Measure Theory
Language
German
Study material
Mueller/Pönitz Skriptum Variationsrechnung M. Struwe, Variational Methods L. Evans, PDE.