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Quenching Versus Blow-up |
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| Authors: | Keng Deng & Chcnglin Zhao |
| 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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