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.