The initial boundary value problem of solutions for a class of generalized IMBq equations is studied.In the case of the nonlinear term satisfying some conditions,it is proved by using the eigenfunction method and convexity method that smooth solutions of the problem only exist in a bounded time interval and blow up in the finite time T,that is,the solutions tend to infinity in the finite time T in a sense.Consequently,the conclusion of this paper indicates the singularity of solutions for this typical nonli...
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