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Volume 13, Issue 3
Quenching Versus Blow-up

Keng Deng & Chcnglin Zhao

J. Part. Diff. Eq., 13 (2000), pp. 243-252.

Published online: 2000-08

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  • 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.
  • Keywords

Reaction-diffusion equation finite time quenching and blow-up quenching and blow-up sets quenching and blow-up rates

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COPYRIGHT: © Global Science Press

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@Article{JPDE-13-243, author = {Keng Deng and Chcnglin Zhao }, title = {Quenching Versus Blow-up}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {3}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5511.html} }
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.
Keng Deng and Chcnglin Zhao . (2000). Quenching Versus Blow-up. Journal of Partial Differential Equations. 13 (3). 243-252. doi:
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