Blow-up time of solutions to a class of pseudo-parabolic equations

Abstract

In this paper, we study the Dirichlet problem for a semilinear pseudo-parabolic equation. By using the energy estimates and ordinary differential inequalities, we studied the upper and lower bounds of blow-up time of the solutions. The results of this paper extend and complete the results on this model.

Keywords

• Pseudo-parabolic equation
• Blow-up
• Blow-up time
• Potential well method
• Global existence