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- W2891607988 abstract "This paper deals with the initial boundary value problem for the nonlinear beam equation with double damping terms $$begin{aligned} u_{tt}-u_{xxt}+u_{xxxx}+u_{xxxxt}=g(u_{xx})_{xx}, quad xinOmega, t>0, end{aligned}$$ where $Omega=(0,1)$ , and $g(s)$ is a given nonlinear function. We derive sufficient conditions for the blow-up of the solution to the problem by virtue of an adapted concavity method. In addition, global existence of weak solutions as well as exponential and uniform decay rates of the solution energy are established by the use of an integral inequality." @default.
- W2891607988 created "2018-09-27" @default.
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- W2891607988 date "2018-09-24" @default.
- W2891607988 modified "2023-09-26" @default.
- W2891607988 title "On decay and blow-up of solutions for a nonlinear beam equation with double damping terms" @default.
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- W2891607988 doi "https://doi.org/10.1186/s13661-018-1067-y" @default.
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