elliptic differential equation

[ə′lip·tik dif·ə¦ren·chəl i′kwā·zhən] (mathematics) A general type of second-order partial differential equation which includes Laplace's equation and has the form where A_ij, B_i, C, and F are suitably differentiable real functions of x₁, x₂, …, x_n, and there exists at each point (x₁, x₂, …, x_n) a real linear transformation on the x_iwhich reduces the quadratic form to a sum of n squares, all of the same sign. Also known as elliptic partial differential equation.

单词	elliptic differential equation
释义	elliptic differential equation elliptic differential equation [ə′lip·tik dif·ə¦ren·chəl i′kwā·zhən] (mathematics) A general type of second-order partial differential equation which includes Laplace's equation and has the form where A_ij, B_i, C, and F are suitably differentiable real functions of x₁, x₂, …, x_n, and there exists at each point (x₁, x₂, …, x_n) a real linear transformation on the x_iwhich reduces the quadratic form to a sum of n squares, all of the same sign. Also known as elliptic partial differential equation.
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