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The necessary and sufficient conditions for wavelet frames in Sobolev space over local fields
Boletim da Sociedade Paranaense de Matemática, 2020 In this paper we construct wavelet frame on Sobolev space. A necessary condition and suffcient conditions for wavelet frames in Sobolev space are given.
Ashish Pathak +2 more
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On a New Parabolic Sobolev Embedding Map
Moroccan Journal of Pure and Applied Analysis, 2023 The purpose of the present article is to provide a new parabolic Sobolev embedding map between a parabolic weighted Sobolev space and the space of square-integrable functions on a cylinder. Furthermore, the embedding constant is furnished explicitly.
El Aidi Mohammed
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Dirac–Sobolev Spaces and Sobolev Spaces
Funkcialaj Ekvacioj, 2010 The aim of this work is to study the first order Dirac-Sobolev spaces in $L^p$ norm on an open subset of ${\mathbb R}^3$ to clarify its relationship with the corresponding Sobolev spaces.
Yoshimi Saito, Takashi Ichinose
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Kaitan Antara Ruang Sobolev dan Ruang Lebesgue
Jurnal Fourier, 2017 Measureable function space and its norm with integral form has been known, one of which is Lebegsue Space and Sobolev Space. In applied Mathematics like in finding solution of partial differential equations, that two spaces is soo usefulness.
Pipit Pratiwi Rahayu
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AIMS Mathematics, 2023 It is well-known that the embedding of the Sobolev space of weakly differentiable functions into Hölder spaces holds if the integrability exponent is higher than the space dimension.
Ugur G. Abdulla
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Sobolev subspaces of nowhere bounded functions [PDF]
, 2016 We prove that in any Sobolev space which is subcritical with respect to the Sobolev Embedding Theorem there exists a closed infinite dimensional linear subspace whose non zero elements are nowhere bounded functions.
Lamberti, PIER DOMENICO +1 more
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On Newton--Sobolev spaces [PDF]
Publicationes Mathematicae Debrecen, 2017 Newton-Sobolev spaces, as presented by N. Shanmugalingam, describe a way to extend Sobolev spaces to the metric setting via upper gradients, for metric spaces with `sufficient' paths of finite length. Sometimes, as is the case of parabolic metrics, most curves are non-rectifiable.
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Wolfe's theorem for weakly differentiable cochains [PDF]
, 2014 A fundamental theorem of Wolfe isometrically identifies the space of flat differential forms of dimension $m$ in $\mathbb{R}^n$ with the space of flat $m$-cochains, that is, the dual space of flat chains of dimension $m$ in $\mathbb{R}^n$.
Petit, Camille +2 more
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Regularity of Stochastic Kinetic Equations [PDF]
, 2016 We consider regularity properties of stochastic kinetic equations with multiplicative noise and drift term which belongs to a space of mixed regularity ($L^p$-regularity in the velocity-variable and Sobolev regularity in the space-variable).
Fedrizzi, Ennio +3 more
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, 2017 The content of this paper is at the interplay between function spaces $L^{p(x)}$ and $W^{k, p(x)}$ with variable exponents and fractional Sobolev spaces $W^{s, p}$.
Anouar Bahrouni, Vicentiu D. Rădulescu
semanticscholar +1 more source