【摘 要】
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We investigate the initial boundary value problem of the pseudo-parabolic equation ut-/△ut-/△u =φuu + | u |p-1u,where φu is the Newtonian potential,which wa
【机 构】
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School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025,China
论文部分内容阅读
We investigate the initial boundary value problem of the pseudo-parabolic equation ut-/△ut-/△u =φuu + | u |p-1u,where φu is the Newtonian potential,which was studied by Zhu et al.(Appl.Math.Comput.,329 (2018) 38-51),and the global existence and the finite time blow-up of the solutions were studied by the potential well method under the subcritical and critical initial energy levels.We in this note determine the upper and lower bounds for the blow-up time.While estimating the upper bound of blow-up time,we also find a sufficient condition of the solution blowingup in finite time at arbitrary initial energy level.Moreover,we also refine the upper bounds for the blow-up time under the negative initial energy.
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