FINITE SPEED OF PROPAGATION FOR THE POROUS-MEDIA EQUATION

Authors
BONAFEDE S CIRMI GR TEDEEV AF
Citation
S. Bonafede et al., FINITE SPEED OF PROPAGATION FOR THE POROUS-MEDIA EQUATION, SIAM journal on mathematical analysis (Print), 29(6), 1998, pp. 1381-1398
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis (Print) → ACNP
ISSN journal
00361410
Volume
29
Issue
6
Year of publication
1998
Pages
1381 - 1398
Database
ISI
SICI code
0036-1410(1998)29:6<1381:FSOPFT>2.0.ZU;2-G
Abstract
We consider the Cauchy{Dirichlet problem for the equation u(t) = Delta u(m,) m > 1, on D = R-k(N) x (t > 0); where R-k(N) = R-N boolean AND {x(1),..., x(k) > 0}, 1 less than or equal to k less than or equal to N greater than or equal to 1. Sharp bounds of the interface (or free b oundary) are obtained. We use a weighted energy method, which allows u s to consider more general equations.