In this paper, we obtain the precisely sharp criteria of blow-up and global existence for the cubic nonlinear beam equation in the H2$H^{2}$ energy-critical and H2$H^{2}$ sub-critical cases, respectively. Click to show full abstract
In this paper, we obtain the precisely sharp criteria of blow-up and global existence for the cubic nonlinear beam equation in the H2$H^{2}$ energy-critical and H2$H^{2}$ sub-critical cases, respectively.
               
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