Cauchy problem

名词noun

1. 1(mathematics, mathematical analysis) For a given m-order partial differential equation, the problem of finding a solution function u on ℝn that satisfies the boundary conditions that, for a smooth manifold S⊂ℝn, u(x)=f0(x) and ∂ku(x)∂nk=fk(x), ∀x∈S, k=1…m−1, given specified functions fk defined on, and vector n normal to, the manifold.