椭圆型偏微分方程 Elliptic partial differential equation

（重定向自Elliptic PDE）

椭圆型偏微分方程（英语：Elliptic partial differential equation）是一类二阶偏微分方程，形式为：

Au_{xx} + 2Bu_{xy} + Cu_{yy} + Du_x + Eu_y + F = 0\,

并满足

B^2 - AC < 0.\

(另有隐含条件 $u_{xy}=u_{yx}$ . )

单词	Elliptic PDE
释义	Elliptic PDE 中文百科椭圆型偏微分方程 Elliptic partial differential equation （重定向自Elliptic PDE）椭圆型偏微分方程（英语：Elliptic partial differential equation）是一类二阶偏微分方程，形式为： $Au_{xx} + 2Bu_{xy} + Cu_{yy} + Du_x + Eu_y + F = 0\,$ 并满足 $B^2 - AC < 0.\$ (另有隐含条件 $u_{xy}=u_{yx}$ . ) 英语百科 Elliptic partial differential equation 椭圆型偏微分方程（重定向自Elliptic PDE） Second order linear partial differential equations (PDEs) are classified as either elliptic, hyperbolic, or parabolic. Any second order linear PDE in two variables can be written in the form where $A$ , $B$ , $C$ , $D$ , $E$ , $F$ , and $G$ are functions of $x$ and $y$ . A PDE written in this form is elliptic if
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Elliptic PDE