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Blow-Up Results for Viscoelastic Wave Equations with Damping Terms on Stratified Groups

Blow-Up Results for Viscoelastic Wave Equations with Damping Terms on Stratified Groups 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

Blow-Up Results for Viscoelastic Wave Equations with Damping Terms on Stratified Groups

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References (24)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2022
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-022-01308-x
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer 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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