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单词 Hyperbolic Partial Differential Equation
释义

Hyperbolic Partial Differential Equation

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

(1)

is called hyperbolic if the Matrix
(2)

satisfies det. The Wave Equation is an example of a hyperbolic partial differential equation. Initial-boundary conditions are used to give
(3)


(4)


(5)

where
(6)

holds in .

See also Elliptic Partial Differential Equation, Parabolic Partial Differential Equation,Partial Differential Equation
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