Annotation. For a second-order parabolic equation, the multipoint in time Cauchy problem is considered. The coefficients of the equation and the boundary condition have power singularities of arbitrary order in time and space variables on a certain set of points. Conditions for the existence and uniqueness of the solution of the problem in Hölder spaces with power weight are found.

中文翻译：

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退化抛物型方程的Cauchy问题。

注释。对于二阶抛物方程，考虑了时间上的多点柯西问题。方程的系数和边界条件在一组点上的时间和空间变量上具有任意阶的幂奇异性。找到了具有幂权重的Hölder空间中问题解的存在性和唯一性的条件。