Non-simultaneous blowup in heat equations with nonstandard growth conditions

作者：Liu, Bingchen^*; Li, Fengjie

来源：Journal of Differential Equations, 2012, 252(8): 4481-4502.

DOI：10.1016/j.jde.2012.01.001

• Variable exponent
• n components
• Non-simultaneous blowup

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.

• 出版日期2012-4-15
• 单位中国石油大学（北京）