: Astronomía: hyperbolic equation

mathematical technique > mathematical analysis > differential equation > partial differential equation > hyperbolic equation

hyperbolic equation

In mathematics, a hyperbolic partial differential equation of order n is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first n − 1 derivatives. More precisely, the Cauchy problem can be locally solved for arbitrary initial data along any non-characteristic hypersurface. Many of the equations of mechanics are hyperbolic, and so the study of hyperbolic equations is of substantial contemporary interest. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hyperbolic_partial_differential_equation)

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