This paper is concerned with the Cauchy problem
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where p > 1, lambda > 0, and phi is a bounded continuous function. It is sh
own that the blowup time T(lambda) of the solution of this problem satisfie
s
T(lambda) = 1/p-1 \ phi \ (1-p)(infinity) lambda (1-p) + o(lambda (1-p))
as lambda --> infinity. Moreover, when the maximum of \(phi (x)\ is attaine
d at one point, we determine the higher order term of T(lambda) which refle
cts the pointedness of the peak of \ phi \.