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Recent trends in optimal control and partial differential equations

Liouville Theorems for Hypoelliptic Partial Differential Operators on Lie Groups

speaker: Alessia Elisabetta Kogoj (Università degli studi di Urbino Carlo Bo)

abstract: We present several Liouville-type theorems for caloric and subcaloric functions on Lie groups in RN . Our results apply in particular to the heat operator on Carnot groups, to linearized Kolmogorov operators and to operators of Fokker-Planck-type like the Mumford operator. An application to the uniqueness for the Cauchy problem is also shown.


timetable:
Tue 9 May, 14:40 - 15:10, Aula Dini
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