Abstract

A construction of numerically implementable explicit expressions for the solutions of the two- and three-dimensional equations \(\operatorname{div}(\alpha(w)\nabla w)=0\) and \(\operatorname{div}(\beta\nabla w)=0\) with Cauchy data on an analytic boundary is presented.

中文翻译：

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关于 2D 和 3D 方程解的数值可实现的显式公式 $$\operatorname{div}(\alpha(w)\nabla w)=0$$ 和 $$\operatorname{div}(\beta\nabla w) =0$$ 与分析边界上的柯西数据

摘要

二维和三维方程\(\operatorname{div}(\alpha(w)\nabla w)=0\)和\(\operatorname{div}(\ beta\nabla w)=0\)在解析边界上呈现柯西数据。