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Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources

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Author(s): Zhoujin Cui | Zuodong Yang

Journal: Differential Equations and Nonlinear Mechanics
ISSN 1687-4099

Volume: 2007;
Date: 2007;
Original page

ABSTRACT
This paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of blow-up is uniform in all compact subsets of the domain, the blow-up rate of |u(t)|∞ is precisely determined.
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