RT Journal Article
T1 Asymptotic properties of a semilinear heat equation with strong absorption and small diffusion
A1 Herrero, Miguel A.
A1 Velázquez, J.J. L.
AB In this paper the authors study the asymptotic behaviour of solutions uε(x,t) of the Cauchy problems as ε goes to zero: ut−εΔu+up=0, x∈RN, t>0; u(x,0)=u0(x), x∈RN, 0<p<1. Compared with the explicit solution u¯(x,t) and the extinction time T0E(x) of the corresponding spatially independent initial value problem: ut+up=0, x∈RN, t>0; u(x,0)=u0(x), x∈RN, it is proved under certain assumptions that uε(x,t)→u¯(x,t) as ε↓0 uniformly on compact subsets of RN ×[0,∞) and, moreover, a precise estimate is given. Local and global estimates for extinction time are also given. The proofs are somewhat technical
PB Springer
SN 0025-5831
YR 1990
FD 1990
LK https://hdl.handle.net/20.500.14352/57874
UL https://hdl.handle.net/20.500.14352/57874
LA eng
NO CICYT
NO EEC Contract
DS Docta Complutense
RD 5 abr 2025