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Neumann problem for reaction–diffusion systems with nonlocal nonlinear sources
Institution:1. Department of Mathematics, Sichuan University, Mailbox 0618, Chengdu 610064, PR China;2. Department of Mathematics, China West Normal University, Nanchong 637002, PR China;3. Chongqing University of Posts and Telecommunications, Chongqing 400065, PR China
Abstract:This paper considers the Neumann problem for several types of systems with nonlocal nonlinear terms. We first give the blow-up conditions. And then, for the blow-up solution, we establish the precise blow-up estimates and show the blow-up set is the whole region.
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