(Nazarbayev University School of Sciences and Humanities, 2022-05) Kabduali, Bek
The main result of this thesis work is a proof of the higher-order Poincar´e inequalities for
Baouendi-Grushin vector fields on non-smooth domains. The finding is successfully applied
to the study of the higher-order Fisher-KPP equation. And some classical vector calculus’
theorems for Baouendi-Grushin vector fields are discussed