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单词 elliptic differential equation
释义 elliptic differential equation
[ǝ`lip·tik dif·ǝ¦ren·chǝl i`kwā·zhǝn]
MATHEMATICS
A general type of second-order partial differential equation which includes Laplace's equation and has the form
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where Aij, Bi, C, and F are suitably differentiable real functions of x1, x2, ..., xn , and there exists at each point (x1, x2, ..., xn ) a real linear elliptic partial differential equation transformation on the xi which reduces the quadratic form
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to a sum of n squares, all of the same sign. Also known as elliptic partial differential equation.
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