RT Journal Article
T1 Approaching an extinction point in one-dimensional semilinear heat-equations with strong absorption
A1 Herrero, Miguel A.
A1 Velázquez, J.J. L.
AB This paper deals with the Cauchy problem             u(t)-u(xx)+u(p)=0; -infinity<x<+infinity, t>o,             u(x, 0)=u(0)(x); -infinity<x<+infinity,where 0<p<1 and u(0)(X)is continuous, nonnegative, and bounded. In this case, solutions are known to vanish in a finite time T, and interfaces separating the regions where  u(x,t)>0 and u(x,t)=0 appear when t is close to T. We describe here all possible asymptotic behaviours of solutions and interfaces near an extinction point as the extinction time is approached. We also give conditions under which some of these behaviours actually occur.
PB Elsevier
SN 0022-247X
YR 1992
FD 1992-11-01
LK https://hdl.handle.net/20.500.14352/57750
UL https://hdl.handle.net/20.500.14352/57750
LA eng
NO CICYT
NO EEC
DS Docta Complutense
RD 7 abr 2025