Blow-Up Results for Viscoelastic Wave Equations with Damping Terms on Stratified Groups
Kassymov A. Kashkynbayev A. Suragan D.
September 2022Springer
Bulletin of the Malaysian Mathematical Sciences Society
2022#45Issue 52549 - 2570 pp.
In this paper, by means of Poincáre and Folland–Stein inequalities and Green’s identities for the sub-Laplacian on stratified Lie groups, we prove blow-up results in finite time for the viscoelastic wave equations both with strong and weak damping terms on stratified Lie groups.
Blow-up solution , Green’s identity , Heisenberg groups , Poincáre inequality , Sobolev inequality , Stratified groups , Sub-Laplacian , Viscoelastic wave equation , Wave equation
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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
Al-Farabi Kazakh National University, 71 Al-Farabi Avenue, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125 Pushkin Str., Almaty, 050010, Kazakhstan
Department of Mathematics, Nazarbayev University, 53 Kabanbay Batyr Ave, Nur-Sultan, 010000, Kazakhstan
Department of Mathematics, Nazarbayev University, 53 Kabanbay Batyr Ave, Nur-Sultan, 010000, Kazakhstan
Department of Mathematics: Analysis
Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
Department of Mathematics
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