Translated Title
The Remark about Fujita Exponent for a Pseudo-Parabolic Equation
Translated Abstract
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 [6], there is something wrong in the proof for belong to the blow-up case, while [5] 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.
Access Number
WF:perioarticalHANS201703028043
