On the solvability of some operators with several moved and fixed
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 33 (2020) no. 4, pp. 10-25
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In this paper we consider two-dimensional singular operators over a bounded domain with coefficients of the integrals, containing an essential discontinuity at several points and operators with kernels having fixed singularities at several points of the type of homogeneous functions order -2. Such operators are widely used in various boundary value problems for elliptic systems of equations of the first and second order with singular coefficients on the plane (see eg. [1]-[4]). One such application is given at the end of this work. First of all set out the results of studying the solvability (Noethericity) of a two-dimensional singular integral equation with a coefficient of the integral containing an essential discontinuity at one point.
Keywords:
singular integral operator, index of operator, symbol of operator, Noetherity of an operator, elliptic system.
@article{VKAM_2020_33_4_a0,
author = {J. M. Odinabekov},
title = {On the solvability of some operators with several moved and fixed},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {10--25},
publisher = {mathdoc},
volume = {33},
number = {4},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2020_33_4_a0/}
}
J. M. Odinabekov. On the solvability of some operators with several moved and fixed. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 33 (2020) no. 4, pp. 10-25. http://geodesic.mathdoc.fr/item/VKAM_2020_33_4_a0/