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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 Weakly harmonic function ： ウィキペディア英語版 Weakly harmonic function In mathematics, a function $f$ is weakly harmonic in a domain $D$ if :$\backslash int\_D\; f\backslash ,\; \backslash Delta\; g\; =\; 0$ for all $g$ with compact support in $D$ and continuous second derivatives, where Δ is the Laplacian. This is the same notion as a weak derivative, however, a function can have a weak derivative and not be differentiable. In this case, we have the somewhat surprising result that a function is weakly harmonic if and only if it is harmonic. Thus weakly harmonic is actually equivalent to the seemingly stronger harmonic condition. ==See also== * Weak solution * Weyl's lemma 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「Weakly harmonic function」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.