AVVISO DI SEMINARIO



Lunedì 27 giugno, alle ore 14:00, in aula E, il Professore Abdelaziz RhandidellaUniversità degli Studi di Salerno, terrà un seminario dal titolo  

Kolmogorov operators on star graphs

Abstract: In this talk we first prove the existence of a classical solution to a class of parabolic problems with unbounded coefficients on metric star graphs subject to Kirchhoff-type conditions. The result is applied to the Ornstein-Uhlenbeck and the harmonic oscillator operators on metric star graphs. We give an explicit formula for the associated Ornstein-Uhlenbeck semigroup and give the unique associated invariant measure. We show that this semigroup inherits the regularity properties of the classical Ornstein-Uhlenbeck semigroup on R and compute its spectrum.

(*) Sarà possibile seguire il seminario anche su Microsoft Teams al seguente link:

https://teams.microsoft.com/l/meetup-join/19%3a168ba8c448f04e398891ae6f20162356%40thread.tacv2/1653026128334?context=%7b%22Tid%22%3a%228f547aef-14d7-49ca-a4d4-51a6c5cb92c1%22%2c%22Oid%22%3a%22664791f3-b506-4b96-b321-ebbe8431882b%22%7d

 Proponente  Il gruppo di Analisi Matematica