REMAINDERS OF THE HIGHER-ORDER POINCAR´E INEQUALITIES FOR BAOUENDI-GRUSHIN VECTOR FIELDS

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Nazarbayev University School of Sciences and Humanities

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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

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Bek Kabduali (2022). Remainders of the higher-order Poincar´e inequalities for Baouendi-Grushin vector fields. Nazarbayev University, Nur-sultan, Kazakhstan

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