Abstract The problem of continuation of a solution of electrodynamic equations from the time-like half-plane S = { x ∈ R 3 ∣ x 3 = 0 } S=\{x\in\mathbb{R}^{3}\mid x_{3}=0\} inside the half-space R + 3 = { x ∈ R 3 ∣ x 3 > 0 } \mathbb{R}^{3}_{+}=\{x\in\mathbb{R}^{3}\mid x_{3}>0\} is considered. A regularization method for a solution of this problem with approximate data is proposed, and the convergence of this method for the class of functions that are analytic with respect to space variables is stated.

中文翻译：

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电动力学方程连续问题的正则化

摘要 类时间半平面电动力学方程解的延拓问题 S = { x ∈ R 3 ∣ x 3 = 0 } S=\{x\in\mathbb{R}^{3}\mid x_{3}=0\} 在半空间 R + 3 = { x ∈ R 3 ∣ x 3 > 0 } \mathbb{R}^{3}_{+}=\{x\in\mathbb{ R}^{3}\mid x_{3}>0\} 被考虑。提出了用近似数据求解该问题的正则化方法，并说明了该方法对空间变量解析函数类的收敛性。