Results 71 to 80 of about 627,768 (311)
Singular integrals on Sierpinski gaskets [PDF]
Publicacions Matemàtiques, 2009 We construct a class of singular integral operators associated with homogeneous Calder n-Zygmund standard kernels on $d$-dimensional, $d <1$, Sierpinski gaskets $E_d$. These operators are bounded in $L^2( _d)$ and their principal values diverge $ _d$ almost everywhere, where $ _d$ is the natural (d-dimensional) measure on $E_d$.
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, 2017 The general space-time evolution of the scattering of an incident acoustic plane wave pulse by an arbitrary configuration of targets is treated by employing a recently developed non-singular boundary integral method to solve the Helmholtz equation in the
Chan, Derek Y. C. +2 more
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L P estimates for the maximal singular integral in terms of the singular integral [PDF]
Journal d'Analyse Mathématique, 2015 This paper continues the study, initiated in the works {MOV} and {MOPV}, of the problem of controlling the maximal singular integral $T^{*}f$ by the singular integral $Tf$. Here $T$ is a smooth homogeneous Calder n-Zygmund singular integral operator of convolution type.
Joan Mateu +2 more
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FEBS Open Bio, EarlyView.This review highlights how foundation models enhance predictive healthcare by integrating advanced digital twin modeling with multiomics and biomedical data. This approach supports disease management, risk assessment, and personalized medicine, with the goal of optimizing health outcomes through adaptive, interpretable digital simulations, accessible ...
Sakhaa Alsaedi +2 more
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Analogue Sochocky formulae for integral operators with additional logarithmic singularity
Журнал Белорусского государственного университета: Математика, информатика, 2018 In this paper we prove the limit formulas for singular integrals of the form. Limit values of such integrals are expressed in terms of singular integral operators and also integral operators.
Vitold V. Kashevski
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FEBS Open Bio, EarlyView.Long non‐coding RNAs (lncRNAs) occupy an abundant fraction of the eukaryotic transcriptome and an emerging area in cancer research. Regulation by lncRNAs is based on their subcellular localization in HNSCC. This cartoon shows the various functions of lncRNAs in HNSCC discussed in this review.
Ellen T. Tran +3 more
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Approximation theorems for the Gauss-Weierstrass singular integral [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1995 In this paper we present three approximation theorems for the Gauss-Weierstrass singular integral in the spaces Lp (1 ≤ p < ∞), C and Hölder spaces. Those theorems generalize and improve the results for the Gauss-Weierstrass singular integral given in ...
B. FIRLEJ, L. REMPULSKA
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Solutions for singular Volterra integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 We consider the system of Volterra integral equations $$ \begin{array}{l} u_i(t)=\int_{0}^{t}g_i(t,s)[P_i(s,u_1(s),u_2(s),\cdots, u_n(s)) + Q_i(s,u_1(s),u_2(s),\cdots, u_n(s))]ds, t\in [0,T],1\leq i\leq n \end{array} $$ where $T>0$ is fixed and the ...
Patricia J. Y. Wong
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Mathematical Modelling and Analysis, 2023 A complete hypersingular integral equation of the second kind was obtained as a boundary integral equation for the diffraction and scattering problem of electromagnetic waves in space separated by the periodically placed non-perfectly conducting strips.
Oleksii V. Kostenko
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Gut alterations in a chronic kidney disease rat model with diet‐induced vascular calcification
FEBS Open Bio, EarlyView.Chronic kidney disease (CKD) patients often suffer from intestinal and/or mineral and bone disorders. Using a rat model, we showed that uremic vascular calcification is associated with gut barrier alterations (decreased gut mucus production and Nlrp6 gene expression, increased gut inflammation), and plasma retention of gut‐origin uremic toxins (indoxyl
Piotr Bartochowski +13 more
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