We construct examples of blowup from smooth data for complex-valued solutions to linear uniformly parabolic equations in dimension $n \geq 2$, which are exactly as irregular as parabolic energy estimates allow.

中文翻译：

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线性抛物方程复值解的奇异性

我们从平滑数据中构建了膨胀的例子，用于维数为 $n\geq 2$ 的线性均匀抛物线方程的复值解，这些方程与抛物线能量估计所允许的完全一样不规则。