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搜索结果: 1-11 共查到理学 Sobolev spaces相关记录11条 . 查询时间(0.043 秒)
The author shows the interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces by applying the boundedness of the Hardy-Littlewood maximal operator on L^{p(x)}. As applic...
Abstract: In this work, we aim to prove algebra properties for generalized Sobolev spaces $W^{s,p} \cap L^\infty$ on a Riemannian manifold, where $W^{s,p}$ is of Bessel-type $W^{s,p}:=(1+L)^{-s/m}(L^p...
For fixed c Prolate Spheroidal Wave Functions ψn,c form a basis with remarkable properties for the space of band-limited functions with bandwith c and have been largely studied and used after the se...
This work is a continuation of the recent study by the authors on approximation theory over the sphere and the ball. The main results define new Sobolev spaces on these domains and study polynomial ap...
In this paper we present a new characterization of Sobolev spaces on Euclidian spaces ($\mathbb{R}^n$). Our characterizing condition is obtained via a quadratic multiscale expression which exploits t...
We show that the Cauchy problem for the defocusing generalized Boussinesq equation utt − uxx + uxxxx − (|u|2ku)xx = 0, k  1, on the real line is globally well-posed in Hs(R) for s > 1W...
We study the Sobolev spaces of exponential type associated with the Dunkl-Bessel Laplace operator. Some properties including completeness and the imbedding theorem are proved. We next introduce a clas...
We prove an Orlicz type version of the multiplicative embedding inequality for Sobolev spaces.
In this paper, we consider the $n$-widths and average widths of Besov classes in the usual Sobolev spaces. The weak asymptotic results concerning the Kolmogorov $n$-widths, the linear $n$-widths, the ...
We first prove that the Cauchy problem of the Kawahara equation, $\partial_tu+u\partial_xu+\beta\partial_x^3u+\gamma\partial_x^5u=0,$ is locally solvable if the initial data belong to $H^{r}(\bf{R})...
专著信息 书名 Convergence of cascade algorithms in Sobolev spaces associated with multiviate refinement equations 语种 英文 撰写或编译 作者 李松 第一作者单位 出版社 Journal of mathematical analysis and applications,257,154-169,2...

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