Abstract: Under homogeneous Dirichlet conditions, the well-posedness and qualitative propertiesР for a semilinear wave equation with Kirchhoff-type weak damping terms and logarithmic nonlinearity wereР considered. By improving the well-posedness for regular solution and density argument, a local existence ofР weak solutions was proved. Meanwhile, based on modified energy technique and contradiction argument,Р a global existence with p < ? and the finite time blow-up with p > ? were also established.Р Key words: Semilinear wave equation; Kirchhoff-type weak damping; Logarithmic nonlinearity;Р Global existence; Blow-up
全文预览
