Options
Propagation versus constancy of support in the degenerate parabolic equation $u_t=f(u)\Delta u$
Winkler, Michael
2004
Abstract
A weak solution concept for the Dirichlet problem in
bounded domains for the degenerate parabolic equation
$u_t = f(u)\Delta u$
is presented. It is shown that if
$\int_0^1 \frac{ds}{f(s)}<\infty$
then each nontrivial nonnegative weak solution eventually becomes positive,
while if $\int_0^1 \frac{ds}{f(s)} = \infty$
then all weak solutions have their support constant
in time.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
36 (2004)
Publisher
Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
Languages
en
File(s)