On The Existence And Dissipation For The Solution Of Kirchhoff Equation With Critical Exponent And Robin Boundary

In this paper we study the asymptotical state of Kirchhoff equation with nonlinear boundary dissipation and critical exponent when t tends to infin-ity.Prove the existence of weak solutions and its dissipation.First,we use the maximal monotone operator theory to prove the local exis-tence and uniqueness of solution, and then we use energy equation to prove the existence of global solution and to give its variation form.Finally further proved in dissipation of problems solution when t is greater than t0.