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arXiv · 2106.00406

Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups

Michael Ruzhansky·Bolys Sabitbek·Berikbol Torebek
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Abstract

In this paper, we prove a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear porous medium equation and the nonlinear pseudo-parabolic equation on the stratified Lie groups. Our proof is based on the concavity argument and the Poincar\'e inequality, established in [38] for stratified groups.

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Michael Ruzhansky, Bolys Sabitbek, Berikbol Torebek. 2021-06-01. Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups. https://doi.org/10.1007/s00229-022-01390-2

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