| dc.creator | Ogbiyele, Paul | |
| dc.creator | Arawomo, Peter | |
| dc.date | 2021-11-29 | |
| dc.date.accessioned | 2022-07-13T16:11:15Z | |
| dc.date.available | 2022-07-13T16:11:15Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4415 | |
| dc.identifier | 10.22199/issn.0717-6279-4357-4415 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/196805 | |
| dc.description | In this paper, we consider the asymptotic behavior of solution to the nonlinear damped wave equation
utt – div(a(t, x)∇u) + b(t, x)ut = −|u|p−1u t ∈ [0, ∞), x ∈ Rn
u(0, x) = u0(x), ut(0, x) = u1(x) x ∈ Rn
with space-time speed of propagation and damping potential. We obtained L2 decay estimates via the weighted energy method and under certain suitable assumptions on the functions a(t, x) and b(t, x). The technique follows that of Lin et al.[8] with modification to the region of consideration in Rn. These decay result extends the results in the literature. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4415/3942 | |
| dc.rights | Copyright (c) 2021 Paul Ogbiyele, Peter Arawomo | en-US |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 40 No. 6 (2021); 1615-1639 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 40 Núm. 6 (2021); 1615-1639 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2021-06 | |
| dc.subject | Space-time speed of propagation | en-US |
| dc.subject | Space-time dependent damping | en-US |
| dc.subject | Asymptotic behavior | en-US |
| dc.subject | Weighted energy method | en-US |
| dc.subject | 35L05 | en-US |
| dc.subject | 35L70 | en-US |
| dc.subject | 37L15 | en-US |
| dc.title | On asymptotic behavior of solution to a nonlinear wave equation with Space-time speed of propagation and damping terms | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
