Sharp criteria of blow-up solutions for the cubic nonlinear beam equation

Abstract

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.

Keywords

• Cubic nonlinear beam equation
• H 2 $H^{2}$ energy-critical
• Sharp criteria
• Blow-up