MS-E1991 - Calculus of Variations, 07.01.2019-04.04.2019
This course space end date is set to 04.04.2019 Search Courses: MS-E1991
Project 11 (Cintia Pacchiano, Kari Väisänen)
The goal is study the existence and regularity of minimizers of functionals of linear growth in metric measure spaces. There are counterexamples to show that in general, minimizers are not continuous and can have jump discontinuities inside the domain.
Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu Regularity of minimizers of the area functional in metric spaces. Adv. Calc. Var. 8 (2015), no. 1, 55–68.
L. Ambrosio, N. Fusco and D. Pallara, Functions of Bounded Variation and Free Discontinuity Problems, Oxford Math. Monogr., Clarendon Press, Oxford, 2000.
G. Buttazzo, M. Giaquinta and S. Hildebrandt, One-Dimensional Variational Problems. An Introduction, Oxford Lecture Ser. Math. Appl. 15, Oxford University Press, Oxford, 1998.