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Non-simultaneous blowup in heat equations with nonstandard growth conditions
Authors:Bingchen Liu  Fengjie Li
Affiliation:College of Mathematics and Computational Science, China University of Petroleum, Qingdao 266555, Shandong Province, PR China
Abstract:This paper cares about blowup solutions for a system of n-componential heat equations coupled via localized reactions and with variable exponents. The criteria for non-simultaneous and simultaneous blowup are established for radial solutions with or without assumptions on initial data, including the existence of non-simultaneous blowup for n components; any blowup must be simultaneous or non-simultaneous.
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