Cauchy problems

A form of Cauchy problem — 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)=f_0(x) and (∂ᵏu(x))/(∂nᵏ)=f_k(x), ∀x∈S, k=1…m-1, given specified functions f_k defined on, and vector n normal to, the manifold.

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Meanings

noun
  1. pluralplural of Cauchy problem
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APA

Cauchy problems. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Cauchy%20problems

MLA

“Cauchy problems.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Cauchy%20problems. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Cauchy problems,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Cauchy%20problems.

Source: Cauchy problems on Wiktionary, CC BY-SA 4.0.