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

Posted on:2019-01-22

Degree:Master

Type:Thesis

Country:China

Candidate:Z X Guo

Full Text:PDF

GTID:2310330569989644

Subject:Basic mathematics

Abstract/Summary:

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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??? 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+??Q?�L^2+???? is proved too.

Keywords/Search Tags:

Random attractor, p-Laplacian, Non-autonomous, Dynamical boundary condition

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