Abstract
This paper is devoted to the study of a thin-film equation, which was considered extensively in recent years. We obtain the conditions for global existence and finite time blow-up of solution for the high initial energy case, i.e., J(u0)>d, while the previous works only considered the case J(u0)≤d, here d is the mountain pass level. Moreover, for the blow-up solution with J(u0)<d, we obtain the lower bound estimate of the blow-up time and blow-up rate.
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