Abstract

We consider the first initial–boundary value problem for a spatially one-dimensional second-order Petrovskii parabolic system with differentiable coefficients in a half-strip with nonsmooth lateral boundary. A theorem on the uniqueness of the classical solution of this problem is proved.

中文翻译：

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具有非光滑侧边界的半带中可微系数抛物线系统第一初边值问题解的唯一性

摘要

我们考虑空间一维二阶 Petrovskii 抛物线系统的第一个初边界值问题，该系统在具有非光滑侧边界的半带中具有可微系数。证明了这个问题的经典解的唯一性定理。