On the generalized 2-D stochastic Ginzburg-Landau equation |
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Authors: | De Sheng Yang |
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Affiliation: | 1. School of Mathematical Sciences and Computing Technology, Central South University, Changsha, 410083, P. R. China
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Abstract: | This paper proves the existence and uniqueness of solutions in a Banach space for the generalized stochastic Ginzburg-Landau equation with a multiplicative noise in two spatial dimensions. The noise is white in time and correlated in spatial variables. The condition on the parameters is the same as in the deterministic case. The Banach contraction principle and stochastic estimates in Banach spaces are used as the main tool. |
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Keywords: | Generalized stochastic Ginzburg-Landau equation multiplicative noise stochastic partial differential equation |
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