抛物型随机偏微分方程中间歇岛的相关长度界和估计
Correlation-length bounds, and estimates for intermittent islands in parabolic SPDEs
摘要：
考虑一维非线性随机热方程。在一定的非线性条件下，我们证明了解的“峰”是罕见的，几乎是分形的。我们还提供了“岛”（大值区域）长度的上界。这些结果是通过分析解的相关长度得到的。
英文摘要：
We consider the nonlinear stochastic heat equation in one dimension. Under some conditions on the nonlinearity, we show that the "peaks" of the solution are rare, almost fractal like. We also provide an upper bound on the length of the "islands," the regions of large values. These results are obtained by analyzing the correlation length of the solution.
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