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• W3126302403 abstract "In this note, we study the blow-up dynamic of a semilinear Cauchy problem for the wave equation with a nonlinear memory term. More precisely, we consider as memory term the Riemann-Liouville fractional integral of order 1 − γ of the p power of the solution, where γ ∈ (0, 1). We prove two blow-up results by using an iteration argument. In the subcritical case we show the blow-up in finite time of the space average of a local in time solution, under certain integral sign assumptions for the initial data. In the result for the limit case, we refine this approach by considering a weighted average of a local solution instead and applying the so-called slicing method." @default.
• W3126302403 created "2021-02-15" @default.
• W3126302403 creator A5020272049 @default.
• W3126302403 creator A5083823085 @default.
• W3126302403 date "2020-11-02" @default.
• W3126302403 modified "2023-10-04" @default.
• W3126302403 title "Blow-up Result for a Semilinear Wave Equation with a Nonlinear Memory Term" @default.
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• W3126302403 doi "https://doi.org/10.1007/978-3-030-61346-4_4" @default.
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