Ginzburg-Landau Equation with Multiplicative Noise

LI Na,WEN Dao-jun

doi:10.13718/j.cnki.xsxb.2017.04.004

Journal of Southwest China Normal University(Natural Science Edition)

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2017 Volume 42 Issue 4

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LI Na,WEN Dao-jun. Ginzburg-Landau Equation with Multiplicative Noise[J]. Journal of Southwest China Normal University(Natural Science Edition), 2017, 42(4). doi: 10.13718/j.cnki.xsxb.2017.04.004

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LI Na,WEN Dao-jun. Ginzburg-Landau Equation with Multiplicative Noise[J]. Journal of Southwest China Normal University(Natural Science Edition), 2017, 42(4). doi: 10.13718/j.cnki.xsxb.2017.04.004

Ginzburg-Landau Equation with Multiplicative Noise

LI Na,WEN Dao-jun

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Abstract

This paper is concerned with the Ginzburg-Landau equation with multiplicative noise.To start with we transformed infinite dimensional space into finite dimensional space by Galerkin approximation, secondly we used a series of inequalities to obtain boundedness.Finally, we obtained the existence of martingale solutions by Prokhorov theorem, Skorokhod theorem and martingale representation theorem.
- Ginzburg-Landau Equation；multiplicative noise；martingale solution,
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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