Initial Boundary Value Problem For A Mixed Pseudo-parabolic-p-Laplacian Type Equation With Logarithmic Nonlinearity

We consider the initial boundary value problem for a mixed pseudo-parabolic-p-Laplacian type equation with logarithmic nonlinearity.Via constructing a family of po-tential wells and using the logarithmic Sobolev inequality,we establish the global existence of weak solutions,which contains two cases:global boundedness and blowing-up at ?.Moreover,we discuss the asymptotic behavior of solutions and give some decay estimates and growth estimates.