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Blow-up phenomena for a system of semilinear heat equations with nonlinear boundary flux
Authors:Fei Liang
Institution:
  • School of Mathematical Science, Nanjing Normal University, Nanjing 210046, PR China
  • Department of Mathematics, An Hui Science and Technology University, Feng Yang, 233100, Anhui, PR China
  • Abstract:This paper deals with the blow-up for a system of semilinear r-Laplace heat equations with nonlinear boundary flux. It is shown that, under certain conditions on the nonlinearities and data, blow-up will occur at some finite time, and when blow-up does occur upper and lower bounds for the blow-up time are obtained.
    Keywords:35K55  35K60
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