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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Dirichlet principle ： ウィキペディア英語版 Dirichlet's principle In mathematics, and particularly in potential theory, Dirichlet's principle is the assumption that the minimizer of a certain energy functional is a solution to Poisson's equation. ==Formal statement== Dirichlet's principle states that, if the function $u\; (\; x\; )$ is the solution to Poisson's equation :$\backslash Delta\; u\; +\; f\; =\; 0\backslash ,$ on a domain $\backslash Omega$ of $\backslash mathbb^n$ with boundary condition :$u=g\backslash text\backslash partial\backslash Omega,\backslash ,$ then ''u'' can be obtained as the minimizer of the Dirichlet's energy :$E()\; =\; \backslash int\_\backslash Omega\; \backslash left(\backslash frac|\backslash nabla\; v|^2\; -\; vf\backslash right)\backslash ,\backslash mathrmx$ amongst all twice differentiable functions $v$ such that $v=g$ on $\backslash partial\backslash Omega$ (provided that there exists at least one function making the Dirichlet's integral finite). This concept is named after the German mathematician Peter Gustav Lejeune Dirichlet. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Dirichlet's principle」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.