Last Updated:2025/11/26
Sentence

変分法の直接法を適用するには、エネルギー汎関数が弱位相に関して下半連続であり、かつコーシブであることが要求され、それによって最小化問題の解の存在が保証される。

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To apply the direct method in the calculus of variations, we require that the energy functional be lower semicontinuous and coercive, which guarantees the existence of a minimizer.

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To apply the direct method in the calculus of variations, we require that the energy functional be lower semicontinuous and coercive, which guarantees the existence of a minimizer.

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Related words

lower semicontinuous

Adjective
alt-of alternative not-comparable
Japanese Meaning
「lower semicontinuous」は「lower semi‐continuous」の別綴り(表記のバリエーション)を意味します。
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変分法の直接法を適用するには、エネルギー汎関数が弱位相に関して下半連続であり、かつコーシブであることが要求され、それによって最小化問題の解の存在が保証される。

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