Last Updated：2025/12/04

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(mathematical analysis) Any of a particular class of second-order linear differential operators.

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elliptic operator

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Source Word

elliptic operator

Noun

(mathematical analysis) Any of a particular class of second-order linear differential operators.

Japanese Meaning

数学解析において、特定の種類の二次の線形微分作用素を指す。

What is this buttons?

To solve the boundary value problem, we studied the spectral properties of the elliptic operator on the compact manifold.

Google Translation / DeepL Translation

境界値問題を解くために、コンパクト多様体上の楕円演算子のスペクトル特性を研究しました。

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Sense（1）

(mathematical analysis) Any of a particular class of second-order linear differential operators.

The study of second order elliptic operators over some of these infinite dimensional manifolds has been the subject of much work in the past forty years, some of it for the purposes of quantum field theory and some of it for the purposes of stochastic analysis or infinite dimensional differential topology.

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elliptic operators

（ plural ）

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elliptic operator

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elliptic operator

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