OS Partielle Differentialgleichungen: On the sets of extremals for a singularly perturbed variational integral

Wann
Donnerstag, 3. Februar 2022
15:15 bis 16:45 Uhr

Wo
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Veranstaltet von

Vortragende Person/Vortragende Personen:
Panas Kalayanamit (University of Oxford)

Abstract: The behaviour of extremals and minimizers of a variational integral is a central topic in calculus of variations. I will present some results regarding the compactness and size of the sets of extremals of a regularized minimization problem for a variational integral, whose integrand satisfies some strict quasiconvexity assumption. This result relies, among other things, on a convexity result for the associated functional. Some related topics will also be touched upon.

The work is based on a joint work with Jan Kristensen.