We prove a result of the instantaneous shrinking of the support of solutions to parabolic equations with a singular absorption. Our method is based on the scaling property of solutions and the strong comparison.

中文翻译：

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具有奇异吸收的抛物线方程解的支持的瞬时收缩

我们证明了具有奇异吸收的抛物线方程解的支持度瞬时收缩的结果。我们的方法基于解决方案的缩放特性和强比较。