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.
| Original language | English |
|---|---|
| Pages (from-to) | 2549-2570 |
| Number of pages | 22 |
| Journal | Bulletin of the Malaysian Mathematical Sciences Society |
| Volume | 45 |
| Issue number | 5 |
| DOIs | |
| Publication status | Accepted/In press - 2022 |
Funding
This research was funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP13067894). This work was also supported in parts by Nazarbayev University FDCRG N09118FD5353.
Keywords
- Blow-up solution
- Green’s identity
- Heisenberg groups
- Poincáre inequality
- Sobolev inequality
- Stratified groups
- Sub-Laplacian
- Viscoelastic wave equation
- Wave equation
ASJC Scopus subject areas
- General Mathematics