“Elliptic Partial Differential Equation”的概念、定义、习题解题方法及翻译-数学辞典

单词

Elliptic Partial Differential Equation

释义

Elliptic Partial Differential Equation

A second-order Partial Differential Equation, i.e., one of the form

(1)

is called elliptic if the Matrix

(2)

is Positive Definite. Laplace's Equation and Poisson's Equation are examplesof elliptic partial differential equations. For an elliptic partial differential equation, Boundary Conditions are usedto give the constraint

, where

(3)

holds in

See also Hyperbolic Partial Differential Equation, Parabolic Partial Differential Equation,Partial Differential Equation

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