Ce travail concerne la modélisation des phénomènes de diffraction électromagnétique 3D en hyperfréquences (bande des fréquences situées entre 300 MHz et 300 GHz). Nous cherchons à calculer les propagations d'ondes dans un domaine ouvert (jusqu'à l'infini) qui ne pourra être entièrement maillé en éléments finis. On cherche même à le tronquer le plus...
Published in Georgian Mathematical Journal
In this paper, by means of the theories of singular integrals and linear commutators, the authors establish the regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients.
Published in Science in China Series A: Mathematics
The boundedness on homogeneous Herz spaces is established for a large class of linear commutators generated by BMO(Rn) functions and linear operators of rough kernels which include the Calderón-Zygmund operators and the Ricci-Stein oRfiUatory singular integrals with rough kernels.
Published in Journal of Computational Analysis and Applications
In this article it is established that the well-known singular integrals of Picard, Poisson–Cauchy, Gauss–Weierstrass, and their Jackson-type generalizations fulfill the “global smoothness preservation” property, i.e., they “ripple” less than the function they are applied on, that is, producing a nice and fit approximation to the unit. The related ...
Published in Science in China Series A: Mathematics
It is proved that a class of multilinear singular integral operators with homogeneous kernels are bounded operators from the product spaces\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}...
Published in Science in China Series A: Mathematics
The operaton on the n-complex unit sphere under study have three forms: the singular integrals with holomorphic kernels, the bounded and holomorphic Fourier multipliers, and the Cauchy-Dunford bounded and holomorphic functional calculus of the radial Dirac operator\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{a...
Published in International Journal of Fracture
The interaction problem of a kinked crack and the edges of a bending trapezoidal plate which takes the effects of transverse shear deformation into account is presented. The research method is based upon the complex potential technique of Muskhelishvili using conformal mapping. Furthermore, for the analysis of the moment intensities at the tips of ...
Published in Science in China Series A: Mathematics
Let [b,T] be the commutator of the functionb ∈ Lipβ(ℝn) (0
Published in Archive of Applied Mechanics
A problem of partial sliding along a planar crack with a local drop in frictional resistance is investigated. A sliding zone initiates in the area of reduced friction, and then propagates as the applied shear load is monotonously increased. The problem is formulated in general terms, and then solved for the case when sliding spreads as a penny-shap...
Published in Applied Mathematics-A Journal of Chinese Universities
The authors study the singular integral operator \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$T_{\Omega ,\alpha } f(x) = p.v.\int_{R^n } {b(\left| y \right|)\Omega ...
