Seminario di Equazioni Differenziali e Applicazioni: “Direct approach to field theory in the Calculus of Variations”

Giovedì 19 Aprile 2018, ore 14:30 - Sala Riunioni VII Piano - Mikhail Sychev


Giovedì 19 Aprile 2018 alle ore 14:30 in Sala Riunioni VII Piano, Mikhail Sychev (Russian Academy of Science) terrà un seminario dal titolo “Direct approach to field theory in the Calculus of Variations”.

We suggest a direct approach to variational field theory. This way we improve the classical field theory result to the case of an arbitrary field of extremals (without any specific dependence of extremals on a parameter). In case of an arbitrary field of extremals, the main result of the field theory still holds: any extremal of the field provide minima in the class of Sobolev functions with the same boundary data as the extremal and with the graph in the set covered by the field. There is also possibility to consider the case of fields containing singular extremals.

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