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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.
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Sep 1, 2022
Keywords: Sub-Laplacian; Stratified groups; Heisenberg groups; Blow-up solution; Wave equation; Viscoelastic wave equation; Sobolev inequality; Poincáre inequality; Green’s identity; 22E30; 43A80
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