Blow-up in the Parabolic Problems under Nonlinear Boundary Conditions

نویسنده

  • Jin Li
چکیده

In this paper, I consider nonlinear parabolic problems under nonlinear boundary conditions. I establish respectively the conditions on nonlinearities to guarantee that ( , ) u x t exists globally or blows up at some finite time. If blow-up occurs, an upper bound for the blow-up time is derived, under somewhat more restrictive conditions, lower bounds for the blow-up time are also derived.

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عنوان ژورنال:
  • JNW

دوره 9  شماره 

صفحات  -

تاریخ انتشار 2014