Optimization in Geometry and Physics
Summary
Coverage
From the book Kielhöfer, Calculus of Variations: An Introduction to the One-Dimensional Theory with Examples and Exercises:
- 1.3 Fundamental Lemma of Calculus of Variations.
- 1.4 Euler Lagrange, strong and weak versions.
- 1.5 Special conditions on the Lagrangian.
- 1.8 Brachistochrone problem
- 1.9 Natural Boundary Conditions.
- 1.10 Functionals in parametric form (i.e. multivariable CoV), invariance under reparametrizations.
