Full paper in PDF:
$%J. Giacomoni, Some results about blow-up and global existence to a semilinear degenerate
heat
equation, Rev. Mat. Complut. 11 (1998), no. 2, 325–351.%$
In this paper, we are dealing with the following degenerate parabolic problem:
where and is nonlinear.
We are interested in analyzing such questions as local and global existence, blow-up in finite time and convergence to a stationary solution for solutions of .
First, we give some examples of nonlinearities where the blow up in occurs. In a second part of this work, we present two cases of global existence of solutions to which converge in to a stationary solution of when .
1991 Mathematics Subject Classification: 35K65.