Volume 13, Issue 3
Quenching Versus Blow-up

Keng Deng and Chcnglin Zhao

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

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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.

  • History

Published online: 2000-08

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