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Sobolev embedding
在数学分析中有一类关于索博列夫空间中的范数的索博列夫不等式(英語:Sobolev inequality)。 这些不等式可以用于证明索博列夫嵌入定理,给出某些索博列夫空间的包含 ...
These are used to prove the Sobolev embedding theorem, giving inclusions between certain Sobolev spaces, and the Rellich–Kondrachov theorem showing that under ...

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索博列夫不等式 (Sobolev inequality)

简介

在数学分析中有一类关于索博列夫空间中的范数的索博列夫不等式。 这些不等式可以用于证明索博列夫嵌入定理,给出某些索博列夫空间的包含关系。而Rellich-Kondrachov定理指出在稍强的条件下,一些索博列夫空间可以被紧嵌入到另一个空间。 这类不等式得名于谢尔盖·利沃维奇·索博列夫。 维基百科
作者:T Dlotko被引用次数:6 — Generalized (Sobolev, weak) derivatives. Their properties, comparison with distributional deriva- tives. • Basic properties of Lp spaces and the space L1 loc.
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). Because numerous such embeddings are possible, many individual results may be termed "the" Sobolev embedding theorem, whereas in actuality the phrase " ...
2004年4月22日 — Sobolev Embedding Theorem. Let Ω a bounded domain in Rn, and 1 ≤ p < ∞. W. 1,p. 0.
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作者:M MIZUGUCHI2015被引用次数:1 — embedding constant, sobolev inequality, fractional derivative, analytic semigroup. 1. Page 2. 2. M. MIZUGUCHI, A. TAKAYASU, T ...
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作者:J Malý2002被引用次数:72 — Sobolev embedding theorems. We introduce a new function space and use it to improve the limiting Sobolev embedding theorem due to Brézis and ...
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作者:FJ PÉREZ被引用次数:8 — version of the extreme case of the Sobolev embedding theorem using L(∞,s) spaces. Anisotropic spaces, Embeddings, Sobolev spaces. 1. Introduction. In this ...
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作者:X Fan2001被引用次数:625 — This paper gives a Sobolev-type embedding theorem for the generalized Lebesgue–Sobolev space Wk, p(x)(Ω), where Ω is an open domain in RN(N ≥ 2) with cone ...
作者:M Mizuguchi2017被引用次数:20 — Since inequality (1) has significance for studies on partial differential equations, many researchers studied this type of Sobolev inequality ...

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