Authors
Citation
M. Ben-artzi et H. Koch, Decay of mass for a semilinear parabolic equation, COMM PART D, 24(5-6), 1999, pp. 869-881
Citations number
12
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
03605302
→ ACNP
Volume
24
Issue
5-6
Year of publication
1999
Pages
869 - 881
Database
ISI
SICI code
0360-5302(1999)24:5-6<869:DOMFAS>2.0.ZU;2-0
Abstract
We study the decay of I(t) = integral u(., t) where u is a nonnegative solu
tion to
u(t) - Delta u + \del u\(q) = 0
in R-n x R+ with n greater than or equal to 1. If 1 less than or equal to q
less than or equal to n+2/n+1 then I(t) --> 0 if I(0) < infinity and (t>0)
inf I(t) > 0 if q n+2/n+1.