Scholarlink

<p>We study large deviations from the invariant measure for nonlinear Schrödinger equations with colored noises on determining modes. The proof is based on a new abstract criterion, inspired by Jakšić et al. (Comm Pure Appl Math 68(12):2108–2143, 2015). To address the difficulty caused by fixed squeezing rate, we introduce a bootstrap argument to derive Lipschitz estimates for Feynman–Kac semigroups. This criterion is also applicable to wave equations and Navier–Stokes system.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Donsker–Varadhan Large Deviation Principle for Locally Damped and Randomly Forced NLS equations

  • 期刊论文

  • 发表日期：

    2026年2月7日

查看全文
  • Yuxuan Chen,
  • Shengquan Xiang

摘要

We study large deviations from the invariant measure for nonlinear Schrödinger equations with colored noises on determining modes. The proof is based on a new abstract criterion, inspired by Jakšić et al. (Comm Pure Appl Math 68(12):2108–2143, 2015). To address the difficulty caused by fixed squeezing rate, we introduce a bootstrap argument to derive Lipschitz estimates for Feynman–Kac semigroups. This criterion is also applicable to wave equations and Navier–Stokes system.