Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator

Published 21 May 2024 in math.AP | (2405.13222v1)

Abstract: In this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator. The approach is based on the concavity argument and the Poincar\'e inequality related to the Baouendi-Grushin operator from [24], inspired by the recent work [21].

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Aishabibi Dukenbayeva

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