TY - JOUR T1 - Quenching Versus Blow-up 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.