ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.16, no.3, 2023 (ESCI)
Article / Article
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
Emerging Sources Citation Index (ESCI), Scopus, zbMATH
Poincare inequalitiy, Baouendi-Grushin operator, eigenfunction, blow-up solution, HARDY INEQUALITIES, BLOW-UP, EQUATIONS, NONEXISTENCE, THEOREMS, OPERATOR
Süleyman Demirel University Affiliated:
In this note, we establish a sharp remainder formula for the Poincare inequality for the Baouendi-Crushin vector fields. We give a simple proof for it without using the variational principle. As an application, we obtain a blow-up result for solutions to the Dirichlet initial-boundary value problem for the Baouendi-Grushin heat operator.