Year: 2000
Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 3 : pp. 243–252
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JPDE-5511
Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 3 : pp. 243–252
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Reaction-diffusion equation