Results 31 to 40 of about 2,130,840 (372)
Журнал Белорусского государственного университета: Математика, информатика, 2019 In the paper, computational schemes for solving the Cauchy problem for the singular integro-differential Prandtl equation with a singular integral over a segment of the real axis, understood in the sense of the Cauchy principal value, are constructed and
Galina A. Rasolko
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On approximation of two-dimensional potential and singular operators [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 The purpose of this paper is the construction of second-order of accuracy quadrature formulas for the numerical calculation of the Vekua types two-dimensional potential and singular integral operators in the unit disk of complex plane.
Charyyar Ashyralyyev, Sedanur Efe
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Journal of Inequalities and Applications, 2017 The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities.
Zizun Li, Wu-Sheng Wang
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An explicit kernel-split panel-based Nystr\"om scheme for integral equations on axially symmetric surfaces [PDF]
, 2016 A high-order accurate, explicit kernel-split, panel-based, Fourier-Nystr\"om discretization scheme is developed for integral equations associated with the Helmholtz equation in axially symmetric domains.
Helsing, Johan, Karlsson, Anders
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Sparse Domination Theorem for Multilinear Singular Integral Operators with $L^{r}$-Hörmander Condition [PDF]
, 2016 Tuomas Hytonen's ERC Starting Grant ``Analytic-probabilistic methods for borderline singular integrals''.
Kangwei Li
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Multilinear Singular Integral Forms of Christ-Journé Type [PDF]
Memoirs of the American Mathematical Society, 2015 We prove $L^{p_1}(\mathbb R^d)\times \dots \times L^{p_{n+2}}(\mathbb R^{d})$ polynomial growth estimates for the Christ-Journ\'e multilinear singular integral forms and suitable generalizations.
A. Seeger, Charles K. Smart, B. Street
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TO THE QUESTION OF UNIQUENESS OF DEGENERATE SINGULAR INTEGRAL EQUATIONS SOLUTIONS
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The work is devoted to the study of sets of functions in which the condition for the unique solvability of degenerate singular integral equations is satisfied.
I. V. Boykov +2 more
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Gauge-Invariant Operators for Singular Knots in Chern-Simons Gauge Theory [PDF]
, 1997 We construct gauge invariant operators for singular knots in the context of Chern-Simons gauge theory. These new operators provide polynomial invariants and Vassiliev invariants for singular knots.
Akutsu +57 more
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Studia Mathematica, 1987 Let n be a positive integer, and let \(R^ n\) denote the Euclidean n- dimensional space. If \(\Omega\) is homogeneous of degree 0, \(\Omega \in L^ q(S^{n-1})\), where \(q>1\) and \(\int_{S^{n-1}}\Omega d\sigma =0\), and if \(h(t)=h_ 0(| t|)\), where \(h_ 0\) is bounded, then the operator \(T^*\) is defined by \[ T^*(f)(x)=\sup_ ...
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Multilinear singular integrals [PDF]
Publicacions Matemàtiques, 2002 We survey the thoery of multilinear singular integral operators with modulation symmetry. The basic example for this theory is the bilinear Hilbert transform and its multilinear variants. We outline a proof of boundedness of Carleson's operator which shows the close connection of this operator to multilinear singular integrals.
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