A note on the quenching rate
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We examine the quenching rate near a quenching point of a solution of a semilinear heat equation with singular powerlike absorption. A selfcontained result on similarity profiles allows us to improve a previous quenching theorem by Guo.
[1] Hideo Kawarada,et al. On Solutions of Initial-Boundary Problem for ut=uxx+\frac{1}{1−u} , 1973 .
[2] Y. Giga,et al. Asymptotically self‐similar blow‐up of semilinear heat equations , 1985 .
[3] Concavity of solutions of nonlinear ordinary differential equations , 1988 .
[4] Jong-Shenq Guo. On the quenching behavior of the solution of a semilinear parabolic equation , 1990 .