Effect of Superlinear Damping Term and Kirchhoff Term to Decay Rate of Solutions
We considered the decay rate of solutions to a class of nonlocal wave equations with Kirchhoff term.Firstly,by establishing weighted estimates of the Sobolev norm,the difficulty of classical multiplier method failure caused by supercritical damping term could be overcome.Secondly,by using the weighted multiplier method to prove that the energy functional of the studied problem decayed logarithmically when the damping term was supercritical damping,which was totally different from both exponential decay of linear damping and polynomial decay of subcritical damping.
万方数据
维普
