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Cauchy problems

Cauchy problems is the plural of Cauchy problem.

Meaning of Cauchy problem

Noun

Cauchy problem (plural Cauchy problems)

  1. 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.
    • In this chapter we formulate and in many cases prove results on uniqueness and stability of solutions of the Cauchy problem for general partial differential equations.2006, Victor Isakov, Inverse Problems for Partial Differential Equations, 2nd edition, Springer, page 41

Questions about Cauchy problems

What is Cauchy problems the plural of?
Cauchy problems is the plural of Cauchy problem.

Words near Cauchy problems in the dictionary

  1. Cauchy distribution
  2. Cauchy distributions
  3. Cauchy horizon
  4. Cauchy horizons
  5. Cauchy problem
  6. Cauchy problems
  7. Cauchy sequence
  8. Cauchy sequences
  9. Cauchy space
  10. Cauchy spaces
  11. Cauchy-Riemann equation

Source and license

Adapted from Wiktionary: Cauchy problems (page history and authors); Cauchy problem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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