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- W1960294764 abstract "In this paper, we consider the following initial value problem , , where is a parameter, is a bounded domain in with smooth boundary , , : is a kernel which is nonnegative, measurable, symmetric, bounded and the initial datum , in . We show that, if , then the solution of the above problem tends to zero as uniformly in , and a description of its asymptotic behavior is given. We also prove that, if , then the solution blows up in a finite time, and its blow-up time goes to that of the solution of a certain ODE as the norm of the initial datum goes to infinity." @default.
- W1960294764 created "2016-06-24" @default.
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- W1960294764 date "2011-07-06" @default.
- W1960294764 modified "2023-09-25" @default.
- W1960294764 title "Asymptotic behavior for a nonlocal diffusion problem with Neumann boundary conditions and a reaction term" @default.
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- W1960294764 doi "https://doi.org/10.1285/i15900932v30n1p1" @default.
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