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| A Blow-up Result for an Extensible Beam with Degenerate Nonlocal Nonlinear Damping |
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Citation： |
Vando NARCISO,Fatma EKINCI,Erhan PIS¸KIN.A Blow-up Result for an Extensible Beam with Degenerate Nonlocal Nonlinear Damping[J].Chinese Annals of Mathematics B,2025,46(2):181~200 |
| Page view： 477
Net amount： 230 |
Authors： |
Vando NARCISO; Fatma EKINCI;Erhan PIS?KIN |
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| Abstract： |
The results of this work deal with the existence and blow up of solutions for
the following damped extensible beam with degenerate nonlocal damping and source term
utt + ?2u ? M(‖?u‖2)?u + ‖?u‖2α|ut|γut = |u|ρu. It is regarded as the second part of
the paper by Narciso et al. (in 2023), where global existence, uniqueness and asymptotic
stability of strong solutions were obtained for regular initial data in the case |u|ρu ≡ 0. |
Keywords： |
Beam equation Blow-up Degenerate damping Global and local
solution |
Classification： |
35L75, 35B35, 35B40, 35B44, 35G61 |
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