Abstract

In this paper, we consider a pseudo parabolic equation with weak-viscoelastic term, where the exponent in the source term is variable. Using a differential inequality technique, we prove that the solution with positive initial energy become unbounded at a finite time, and find an upper bound for this time. A lower grow-up rate of solution is also obtained.

Keywords: Blow-up; grow-up,weak-viscoelastic term; variable exponent source.

MSC: 35B44, 35K70

DOI: 10.57016/MV-LZVTf200

Pages:  1--14