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Transportation cost inequalities for the stochastic Ginzburg–Landau equation driven by space–time white noises

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  • Zhang, Beibei

Abstract

In this paper, we establish transportation cost inequalities for the solution of the stochastic complex Ginzburg–Landau equation driven by a space–time white noise on the spaces L2([0,T]×D) or C([0,T];L2(D)). The proof is based on the estimates of the nonlinear term.

Suggested Citation

  • Zhang, Beibei, 2025. "Transportation cost inequalities for the stochastic Ginzburg–Landau equation driven by space–time white noises," Statistics & Probability Letters, Elsevier, vol. 222(C).
    • Handle: RePEc:eee:stapro:v:222:y:2025:i:c:s0167715225000549
    DOI: 10.1016/j.spl.2025.110409
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    References listed on IDEAS

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    1. Boufoussi, Brahim & Hajji, Salah, 2018. "Transportation inequalities for stochastic heat equations," Statistics & Probability Letters, Elsevier, vol. 139(C), pages 75-83.
    2. Lin Lin & Hongjun Gao, 2019. "A Stochastic Generalized Ginzburg–Landau Equation Driven by Jump Noise," Journal of Theoretical Probability, Springer, vol. 32(1), pages 460-483, March.
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