Please use this identifier to cite or link to this item: http://ir.library.ui.edu.ng/handle/123456789/8114
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dc.contributor.authorOgbiyele, P. A.-
dc.contributor.authorArawomo, P. O.-
dc.date.accessioned2023-03-21T13:30:00Z-
dc.date.available2023-03-21T13:30:00Z-
dc.date.issued2021-12-
dc.identifier.otherui_art_ogbiyele_on_2021-
dc.identifier.otherProyecciones Journal of Mathematics 40(6), pp. 1615-1639-
dc.identifier.urihttp://ir.library.ui.edu.ng/handle/123456789/8114-
dc.description.abstractIn this paper, we consider the asymptotic behavior of solution to the nonlinear damped wave equationutt − 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.language.isoenen_US
dc.subjectSpace-time speed of propagationen_US
dc.subjectSpace-time dependent dampingen_US
dc.subjectAsymptotic behavioren_US
dc.subjectWeighted energy methoden_US
dc.titleOn asymptotic behavior of solution to a nonlinear wave equation with space-time speed of propagation and damping termsen_US
dc.typeArticleen_US
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