In mathematics, a Lipschitz domain (or domain with Lipschitz boundary) is a domain in Euclidean space whose boundary is "sufficiently regular" in the sense...
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In mathematical analysis, Lipschitz continuity, named after German mathematician Rudolf Lipschitz, is a strong form of uniform continuity for functions...
18 KB (2,624 words) - 14:22, 23 April 2024
Codomain Domain decomposition Effective domain Image (mathematics) Lipschitz domain Naive set theory Range of a function Support (mathematics) "Domain, Range...
8 KB (958 words) - 01:56, 12 April 2024
Cauchy–Lipschitz theorem Lipschitz domain Lipschitz quaternion Lipschitz continuity Uniform, Hölder and Lipschitz continuity Lipschitz distance Lipschitz-continuous...
7 KB (633 words) - 07:06, 6 May 2024
considered types of domains are domains with continuous boundary, Lipschitz boundary, C1 boundary, and so forth. A bounded domain is a domain that is bounded...
17 KB (1,578 words) - 05:48, 9 March 2024
Picard–Lindelöf theorem (redirect from Cauchy-Lipschitz theorem)
Cauchy–Lipschitz theorem, or the existence and uniqueness theorem. The theorem is named after Émile Picard, Ernst Lindelöf, Rudolf Lipschitz and Augustin-Louis...
17 KB (2,940 words) - 18:57, 26 May 2024
Hurwitz quaternion (redirect from Lipschitz quaternion)
Hurwitz (1919). A Lipschitz quaternion (or Lipschitz integer) is a quaternion whose components are all integers. The set of all Lipschitz quaternions L =...
8 KB (1,242 words) - 12:04, 5 October 2023
Gagliardo–Nirenberg interpolation inequality (section The Gagliardo-Nirenberg inequality in bounded domains)
{R} ^{n}} is either the full space, a half-space or a bounded and Lipschitz domain. If s ∈ ( 0 , 1 ) {\displaystyle s\in (0,1)} and p ≥ 1 {\displaystyle...
29 KB (4,435 words) - 19:46, 3 September 2023
version) of the trace theorem for Lipschitz domains can be found in Gagliardo. On a C 1 {\textstyle C^{1}} -domain, the trace operator can be defined...
26 KB (4,558 words) - 19:09, 22 April 2024
space R n {\displaystyle \mathbb {R} ^{n}} with a Lipschitz boundary (i.e., Ω is a Lipschitz domain). Then there exists a constant C, depending only on...
14 KB (2,103 words) - 13:49, 25 May 2024