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2012 Blowup Analysis for a Nonlocal Diffusion Equation with Reaction and Absorption
Yulan Wang, Zhaoyin Xiang, Jinsong Hu
J. Appl. Math. 2012: 1-17 (2012). DOI: 10.1155/2012/648067


We investigate a nonlocal reaction diffusion equation with absorption under Neumann boundary. We obtain optimal conditions on the exponents of the reaction and absorption terms for the existence of solutions blowing up in finite time, or for the global existence and boundedness of all solutions. For the blowup solutions, we also study the blowup rate estimates and the localization of blowup set. Moreover, we show some numerical experiments which illustrate our results.


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Yulan Wang. Zhaoyin Xiang. Jinsong Hu. "Blowup Analysis for a Nonlocal Diffusion Equation with Reaction and Absorption." J. Appl. Math. 2012 1 - 17, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1251.35037
MathSciNet: MR2948129
Digital Object Identifier: 10.1155/2012/648067

Rights: Copyright © 2012 Hindawi


Vol.2012 • 2012
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