The Study Of Long-time Behavior Of Quasi-linear Parabolic Equation

In this master paper,we investigate the dynamic behavior of the solution of the stochastic p-Laplacian equation with dynamical boundary condition and multiplicative noise:（?）Firstly,we establish some new priori estimates of the solution of the equation.Secondly,we obtain the existence of random attractor in L²（Q）×L²（Γ） for stochastic p-Laplacian equation.Thirdly,we show the higher-order integrability of the difference of the solution near initial time.Finally,the higher-order attraction in L^2+δ（Q）×L^2+δ（Γ） is proved too.