On the blow-up of a non-local parabolic problem

نویسندگان

  • Nikos I. Kavallaris
  • Dimitrios E. Tzanetis
چکیده

We investigate the conditions under which the solution of the initial-boundary value problem of the non-local equation ut = u + λ f (u)/( ∫ Ω f (u) dx) p , where Ω is a bounded domain of RN and f (u) is a positive, increasing, convex function, performs blow-up. c © 2005 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2006