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http://ir.library.ui.edu.ng/handle/123456789/8110
Title: | Existence and Blow up Time Estimate for a negative initial energy solution of a nonlinear cauchy problem |
Authors: | Ogbiyele, P. A. Arawomo, P. O. |
Keywords: | Nonlinear wave equation Global existence Blow up Finite speed of propagation |
Issue Date: | Jun-2020 |
Publisher: | Springer Nature B.V. |
Abstract: | In this paper, we consider nonlinear wave equations with dissipation having the form utt −div_(|∇u|γ−2∇u)+b(t, x)|ut |m−2ut = g(x,u) for (t, x) ∈ [0,∞) × Rn. We obtain existence and blow up results under suitable assumptions on the positive function b(t, x) and the nonlinear function g(x,u). The existence result was obtained using the Galerkin approach while the blow up result was obtained via the perturbed energy method. Our result improves on the perturbed energy technique for unbounded domains. |
URI: | http://ir.library.ui.edu.ng/handle/123456789/8110 |
ISSN: | 1572-9036 0167-8019 |
Appears in Collections: | scholarly works |
Files in This Item:
File | Description | Size | Format | |
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(32) ui_art_ogbiyele_existence_2020.pdf | 1.16 MB | Adobe PDF | View/Open |
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