Abstract

We consider methods for studying boundary value problems for linear partial differential equations in a domain regardless of the type of the equation. We propose several methods for studying boundary value problems, typically based on the Green’s formula. Our previous publications were devoted to these methods, and we present these results in a summarized form in this paper.

中文翻译：

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研究一般偏微分方程边值问题的一些新方法

摘要

我们考虑研究域中线性偏微分方程边值问题的方法，无论方程的类型如何。我们提出了几种研究边值问题的方法，通常基于格林公式。我们之前的出版物专门讨论了这些方法，我们在本文中以总结的形式展示了这些结果。