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Global existence and blow-up of solutions to porous medium equation for Baouendi-Grushin operator

Published 21 May 2024 in math.AP | (2405.13225v1)

Abstract: In this note, we show a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear porous medium equation related to Baouendi-Grushin operator. Our approach is based on the concavity argument and the Poincar\'e inequality for Baouendi-Grushin vector fields from [35], inspired by the recent works [28] and [29].

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Authors (1)

  1. Aishabibi Dukenbayeva 

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