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单词 Elliptic differential equation
释义

Elliptic differential equation

英语百科

Elliptic operator

A solution to Laplace's equation defined on an annulus. The Laplace operator is the most famous example of an elliptic operator.

In the theory of partial differential equations, elliptic operators are differential operators that generalize the Laplace operator. They are defined by the condition that the coefficients of the highest-order derivatives be positive, which implies the key property that the principal symbol is invertible, or equivalently that there are no real characteristic directions.

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更新时间:2025/6/20 20:04:38