The Energy Decay Estimates Of Solution For Second Order Nolinear Viscoelastic Equation With Memory

The paper aims to study the energy decay estimates of solutions for second order nonlinear viscoelastic equation with memory Here, Ω(?) Rn denotes a bounded domain, with smooth boundary Γ. When the memory kernel satisfies a more general condition, based on the integral inequality and Sobolev embedding theorem, it has been confirmed that the energy of mild solution decays with exponential rate.