Results 21 to 30 of about 4,761,041 (315)
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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A Marcinkiewicz integral type characterization of the Sobolev space [PDF]
, 2014 In this paper we present a new characterization of the Sobolev space W1,p , 1 < p < ∞ which is a higher dimensional version of a result of Waterman [32].
P. Hajłasz, Zhuomin Liu
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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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Inequalities in the most simple Sobolev space and convolutions of ₂ functions with weights [PDF]
, 1993 S. Saitoh
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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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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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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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$L^p$-Taylor approximations characterize the Sobolev space $W^{1,p}$ [PDF]
, 2015 In this note, we introduce a variant of Calder\'on and Zygmund's notion of $L^p$-differentiability - an \emph{$L^p$-Taylor approximation}. Our first result is that functions in the Sobolev space $W^{1,p}(\mathbb{R}^N)$ possess a first order $L^p$-Taylor ...
Spector, Daniel E.
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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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Concerning the pathological set in the context of probabilistic well-posedness
Comptes Rendus. Mathématique, 2021 We prove a complementary result to the probabilistic well-posedness for the nonlinear wave equation. More precisely, we show that there is a dense set $S$ of the Sobolev space of super-critical regularity such that (in sharp contrast with the ...
Sun, Chenmin, Tzvetkov, Nikolay
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