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On blow up of positive initial energy solution of a nonlinear wave equation with nonlinear source and boundary damping terms
In this paper, we consider a nonlinear wave equation having nonlinear source and boundary damping terms and obtain blow up results under certain polynomial growth conditions on y, r, m and p, where the polynomial growth order of the nonlinear functions g and / are p + 1 and to +1 respectively. We ob...
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2021-08
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/8113 | ||
| 042 | |a dc | ||
| 720 | |a Ogbiyele, P. A. |e author | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 260 | |c 2021-08 | ||
| 520 | |a In this paper, we consider a nonlinear wave equation having nonlinear source and boundary damping terms and obtain blow up results under certain polynomial growth conditions on y, r, m and p, where the polynomial growth order of the nonlinear functions g and / are p + 1 and to +1 respectively. We obtain the blow up result using the perturbed energy technique. | ||
| 024 | 8 | |a ui_art_ogbiyele_on_2021 | |
| 024 | 8 | |a Transactions of the Nigerian Association of Mathematical Physics 16, pp. 129-140 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8113 | |
| 653 | |a Non-linear boundary damping | ||
| 653 | |a Non-linear source | ||
| 653 | |a Positive initial energy | ||
| 653 | |a Potential well | ||
| 653 | |a Blow up | ||
| 245 | 0 | 0 | |a On blow up of positive initial energy solution of a nonlinear wave equation with nonlinear source and boundary damping terms |