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For one spatial variable, a new kind of nonlinear wave equation forEmden-Fowler type is considered with boundary value null and initial values.Under certain conditions on the initial data and the exponent p, we exhibitthat the visco-elastic term leads our problem to be dissipative and the globalsolutions still non-exist in L2 at given finite time.

Blow up at finite time for wave equation in visco-elasticity: a new kind for one spatial variable Emden-Fowler type