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arXiv · 2405.13222

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

Aishabibi Dukenbayeva
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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. 2024-05-21. Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator. https://arxiv.org/abs/2405.13222

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