@article{42790edf61384d6982a78fac11a5a814,
title = "Blow-Up Results for Viscoelastic Wave Equations with Damping Terms on Stratified Groups",
abstract = "In this paper, by means of Poinc{\'a}re and Folland–Stein inequalities and Green{\textquoteright}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.",
keywords = "Blow-up solution, Green{\textquoteright}s identity, Heisenberg groups, Poinc{\'a}re inequality, Sobolev inequality, Stratified groups, Sub-Laplacian, Viscoelastic wave equation, Wave equation",
author = "Aidyn Kassymov and Ardak Kashkynbayev and Durvudkhan Suragan",
note = "Funding Information: 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. Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.",
year = "2022",
doi = "10.1007/s40840-022-01308-x",
language = "English",
volume = "45",
pages = "2549--2570",
journal = "Bulletin of the Malaysian Mathematical Sciences Society",
issn = "0126-6705",
publisher = "Springer Science+Business Media Singapore Private Limited",
number = "5",
}