Blow-up for a reaction-diffusion equation with variable coefficient

نویسندگان

  • Jong-Shenq Guo
  • Chang-Shou Lin
  • Masahiko Shimojo
چکیده

We study the blow-up behavior for positive solutions of a reaction–diffusion equationwith nonnegative variable coefficient. When there is no stationary solution, we show that the solution blows up in finite time. Under certain conditions, we then show that any point with zero source cannot be a blow-up point. © 2012 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2013