Finite time blow-up at arbitrary high initial energy level to a fourth order viscoelastic wave equation with nonlinear source

Liu et al. in [۲] obtained blow-up results for a viscoelastic Petrovskey wave equation at arbitrary high initial energy by considering some assumptions on initial data.In this article, we obtain nite time blow up under more weak assumptions on the initial data. To this end we use a technical di erential inequality by Korpusov [۱].

کلیدواژه ها:

Blow-up ، Petrovsky equation ، Viscoelastic term ، Nonlinear source