CAJ | 학술논문

在 R2上具有光滑边界的有界区域 Q上考虑了具有线性乘积噪声的随机非自治Ginzburg-Landau方程?u?t -（λ＋ iα）Δu -（ν-σ22）u＋（k＋ iβ）| u|2 u ＝ f （x ，t）＋σu礋dWd t 。我们运用Ball创建的能量方程方法建立了上述方程的拉回渐近紧性，进而证明了在相空间L 2（Q）上的拉回吸引子的存在性。
재 R2상구유광활변계적유계구역 Q상고필료구유선성승적조성적수궤비자치Ginzburg-Landau방정?u?t -（λ＋ iα）Δu -（ν-σ22）u＋（k＋ iβ）| u|2 u ＝ f （x ，t）＋σu택dWd t 。아문운용Ball창건적능량방정방법건립료상술방정적랍회점근긴성，진이증명료재상공간L 2（Q）상적랍회흡인자적존재성。
Let Q be an open bounded domain in R2 with sufficiently regular boundary .We consider the following non-autonomous stochastic Ginzburg-Landau equation with multiplicative white noise :?u?t - (λ+ iα)Δu - (ν- σ22 )u+ (k+ iβ)| u|2 u = f (x ,t)+ σu°dWd t . We use the method of energy equations introduced by Ball to establish the pullback asymptotic com-pactness ,and then prove the existence of pullback attractor for the equation above in L2 (Q) .