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Blow up for a viscoelastic wave equation with space-time potential in Rn

In this paper, we consider the following wave equation: with space-time dependent potential, where the initial data have compact support. Under suitable assumptions on the nonlinear function f, the relaxation function g and the damping potential b, we obtain blow up results using the perturbed energ...

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Published: 2022-07
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LEADER 00000njm a2000000a 4500
001 oai:repository.ui.edu.ng:123456789/8117
042 |a dc 
720 |a Ogbiyele, P. A.  |e author 
720 |a Arawomo, P. O.  |e author 
260 |c 2022-07 
520 |a In this paper, we consider the following wave equation: with space-time dependent potential, where the initial data have compact support. Under suitable assumptions on the nonlinear function f, the relaxation function g and the damping potential b, we obtain blow up results using the perturbed energy method. 
024 8 |a 2090-729X 
024 8 |a ui_art_ogbiyele_blow_2022 
024 8 |a Electronic Journal of Mathematical Analysis and Applications 10(2), pp. 61-74 
024 8 |a http://ir.library.ui.edu.ng/handle/123456789/8117 
653 |a Blow up 
653 |a Relaxation function 
653 |a Viscoelastic 
653 |a Damping potential 
245 0 0 |a Blow up for a viscoelastic wave equation with space-time potential in Rn