TY - JOUR
T1 - Quenching Versus Blow-up
AU - Keng Deng  & Chcnglin Zhao 
JO - Journal of Partial Differential Equations
VL - 3
SP - 243
EP - 252
PY - 2000
DA - 2000/08
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5511.html
KW - Reaction-diffusion equation
KW - finite time quenching and blow-up
KW - quenching and blow-up sets
KW - quenching and blow-up rates
AB -  This paper is concerned with the semilinear heat equation u_t = Δu - u^{-q} in Ω × (0, T) under the nonlinear boundary condition \frac{∂u}{∂v} = u^p on ∂Ω × (0, T). Criteria for finite time quenching and blow-up are established, quenching and blow-up sets are discussed, and the rates of quenching and blow-up are obtained.