Vol.3 No.5 (September 2013)
The Remark about Fujita Exponent for a
In this paper we consider nonnegative solutions to the Cauchy problem for the pseudo-parabolic equation . It is well known that is the critical exponent of blow up. Namely, if , then all the nontrivial solutions blow up in finite time (blow-up case), and if , then there are nontrivial global solutions (global existence case). In this paper we show for the Cauchy problem, belongs to the blow-up case. Because , there is something wrong in the proof for belong to the blow-up case, while  the method is too complicate. In the paper we give a new simpler proof for the critical exponent which belongs to the blow-up case, moreover we generalize classical solution to the general weak solution case.
解斌强 , 曾有栋 (2013) 伪抛物方程Fujita指标的注记。 理论数学， 3， 300-304. doi: 10.12677/PM.2013.35046
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