7 октября 2020 г.

Geometric theory of optimal control


среда, 16:45


Семинар проходит онлайн, в skype, https://join.skype.com/h43x90gClMuS


Балджы Анна; Сурначев Михаил
Университет Биелефельда, Германия; ИПМ им. М.В. Келлыша РАН,Россия


New examples of Lavrentiev gap for generalized Orlicz functions

Аннотация доклада: 

We construct new examples on Lavrentiev phenomenon using fractal contact sets. Comparing to the well-known examples of Zhikov it is not important that at the saddle point the variable exponent crosses the threshold dimension. As a consequence we give the negative answer to the well-known conjecture that the dimension plays a critical role for the Lavrentiev gap to appear. We apply our method to the setting of variable exponents, the double phase potential and weighted p-energy. The talk is based on the joint project with Lars Diening from Bielefeld Unievrsity.