Blow Up and Exponential Growth to a Petrovsky Equation with Degenerate Damping

Abstract

This paper deals with the initial boundary value problem of Petrovsky type equation with degenerate damping. Under some appropriate conditions, we study the finite time blow up and exponential growth of solutions with negative initial energy.

Blow up and Exponential Growth to a Kirchhoff-Type Viscoelastic Equation with Degenerate Damping Term

“…In addition, they gave some estimates for lower bound of the blow up time. On the other hand, the other some studies with degenerate damping terms are see (see [21][22][23][24][25][26][27][28][29]).…”