Results 11 to 20 of about 74,008 (266)
Characterisation of homogeneous fractional Sobolev spaces [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractOur aim is to characterize the homogeneous fractional Sobolev–Slobodeckiĭ spaces$$\mathcal {D}^{s,p} (\mathbb {R}^n)$$Ds,p(Rn)and their embeddings, for$$s \in (0,1]$$s∈(0,1]and$$p\ge 1$$p≥1. They are defined as the completion of the set of smooth and compactly supported test functions with respect to the Gagliardo–Slobodeckiĭ seminorms. For$$s\,
Brasco L. +2 more
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Numerical Homogenization of Heterogeneous Fractional Laplacians [PDF]
Multiscale Modeling & Simulation, 2018 In this paper, we develop a numerical multiscale method to solve the fractional Laplacian with a heterogeneous diffusion coefficient. When the coefficient is heterogeneous, this adds to the computational costs. Moreover, the fractional Laplacian is a nonlocal operator in its standard form, however the Caffarelli-Silvestre extension allows for a ...
Donald L. Brown +2 more
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Homogenization in Fractional Elasticity [PDF]
SIAM Journal on Mathematical Analysis, 2014 In this note we treat the equations of fractional elasticity. After establishing well-posedness, we show a compactness result related to the theory of homogenization. For this, a previous result in (abstract) homogenization theory of evolutionary equations has to be improved.
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Homogeneous fractional embeddings [PDF]
Journal of Mathematical Physics, 2008 Fractional equations appear in the description of the dynamics of various physical systems. For Lagrangian systems, the embedding theory developed by Cresson [“Fractional embedding of differential operators and Lagrangian systems,” J. Math. Phys. 48, 033504 (2007)] provides a univocal way to obtain such equations, stemming from a least action principle.
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Homogeneous interpolation and some continued fractions [PDF]
Transactions of the American Mathematical Society, Series B, 2014 We prove: if d / m > 2280 / 721 d/m > 2280/721 , there is no curve of degree d d passing through n = 10 n=10 general points with multiplicity m m in
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Random homogenization of fractional obstacle problems
Networks & Heterogeneous Media, 2008 We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appropriate differential equation to study its obstacle problem in perforated domains.
Caffarelli, Luis, Mellet, Antoine
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GEL FILTRATION OF COW MILK WHEY PROTEINS
Harčova Nauka ì Tehnologìâ, 2018 The work considers the isolation of homogeneous precursor proteins of biologically active peptides from milk whey by gel filtration, in conditions that maximally ensure the preservation of their structure, composition, and properties.
V. Yukalo, K. Datsyshyn
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Food Frontiers, 2023 Agaricus bisporus (A. bisporus) is a rich source of polysaccharides with medical and nutraceutical interests; however, the complex structure of A. bisporus polysaccharides (ABPs) poses a challenge to its quality control.
Qin Yuan +7 more
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Isolation of κ-CN-1P and β-CN-5Р fractions from native casein micelles [PDF]
The Ukrainian Biochemical Journal, 2018 Proteins of the casein complex of milk arouse considerable interest as the precursors of biologically active peptides which are capable of influencing various physiological systems of the body (digestive, nervous, cardiovascular, and immune). It has been
V. G. Yukalo, L. A. Storozh
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The fractional non-homogeneous Poisson process [PDF]
Statistics & Probability Letters, 2017 15 ...
Leonenko N., Scalas E., Trinh M.
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