We consider viscoelastic wave equations of the Kirchhoff typeutt-M(∥∇u∥22)Δu+∫0tg(t-s)Δu(s)ds+ut=|u|p-1uwith Dirichlet boundary conditions, where∥·∥pdenotes the norm in the Lebesgue spaceLp. Under some suitable assumptions ongand the initial data, we establish a global nonexistence result for certain solutions with arbitrarily high energy, in the sense thatlim t→T*-(∥u(t)∥22+∫0t∥u(s)∥22ds)=∞for some0<T*<+∞.
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机译：我们考虑具有Dirichlet边界条件的Kirchhoff型utt-M（∥∇u∥22）Δu+∫0tg（ts）Δu（s）ds + ut = | u | p-1u的粘弹性波动方程，其中∥·∥表示Lebesgue空间Lp。在适当的假设和初始数据的基础上，对于lim + t→T *-（∥u（t）∥22+∫0t∥u（s）∥22ds的意义，我们为某些任意具有高能量的解建立了全局不存在结果）=∞对于0 展开▼
