Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified groups
Ruzhansky M. Sabitbek B. Torebek B.
July 2023Springer Science and Business Media Deutschland GmbH
Manuscripta Mathematica
2023#171Issue 3-4377 - 395 pp.
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 Poincaré inequality, established in Ruzhansky and Suragan (J Differ Eq 262:1799–1821, 2017) for stratified groups.
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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics: Analysis
School of Mathematical Sciences
Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
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