The singular support of the global attractor is introduced. It is shown that the singular support of the global attractor for a damped BBM equation equals to the singular support of the force term. This gives a delicate description of the local regularity, which roughly says that the attractor is smooth exactly where the force is smooth.

中文翻译：

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全局吸引子对阻尼 BBM 方程的奇异支持

引入了全局吸引子的奇异支持。结果表明，阻尼 BBM 方程的全局吸引子的奇异支撑等于力项的奇异支撑。这给出了局部规律的微妙描述，它粗略地说，吸引子恰好在力光滑的地方是光滑的。