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Laplace operators

Laplace operators is the plural of Laplace operator.

Meaning of Laplace operator

Noun

Laplace operator (plural Laplace operators)

  1. A differential operator, denoted ∆ and defined on ℝⁿ as Δ=∑ᵢ₌₁ⁿ(∂²)/(∂x_i²), used in the modeling of wave propagation, heat flow and many other applications.
    • The first notion of a Laplace operator for functionals on a Hilbert space was introduced by Levy in [l], and the idea was developed further in [2]. Levy's results depended on the posthumous work of Gateaux [3] in which the Dirichlet problem in Hilbert space was considered (without any concise...1975, Various translators, V. Ja. Sikjrjavyĭ, A Quasidifferentiation Operator and Boundary Value Problems Connected With It, V. I. Averbvh, M. S. Birman, A. A. Blahin (editors), Transactions of the...
    Synonyms:
    Laplacian

Questions about Laplace operators

What is Laplace operators the plural of?
Laplace operators is the plural of Laplace operator.

Words near Laplace operators in the dictionary

  1. Laplace
  2. Laplace distribution
  3. Laplace expansion
  4. Laplace expansions
  5. Laplace operator
  6. Laplace operators
  7. Laplace plane
  8. Laplace planes
  9. Laplace sphere
  10. Laplace spheres
  11. Laplace transform

Source and license

Adapted from Wiktionary: Laplace operators (page history and authors); Laplace operator (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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