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• W4312557139 abstract "<abstract><p>This paper deals with the initial boundary value problem for the double dispersion equation with nonlinear damped term and exponential growth nonlinearity in two space dimensions. We first establish the local well-posedness in the natural energy space by the standard Galërkin method and contraction mapping principle. Then, we prove the solution is global in time by taking the initial data inside the potential well and the solution blows up in finite time as the initial data in the unstable set. Moreover, finite time blow-up results are provided for negative initial energy and for arbitrary positive initial energy respectively.</p></abstract>" @default.
• W4312557139 created "2023-01-05" @default.
• W4312557139 creator A5049464184 @default.
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• W4312557139 date "2022-01-01" @default.
• W4312557139 modified "2023-09-24" @default.
• W4312557139 title "On the global existence and blow-up for the double dispersion equation with exponential term" @default.
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• W4312557139 doi "https://doi.org/10.3934/era.2023023" @default.
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