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N(O)ETHER'S THEORY OF SOME TWO-DIMENSIONAL SINGULAR INTEGRAL OPERATORS WITH CONTINUOUS COEFFICIENTS AND APPLICATIONS

机译:连续系数的二维奇异积分算子的N(O)ther理论

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摘要

Concerning N(O)ether's theory of some two-dimensional singular integral opera tor with continuous coeffients, K. Ch. Boimatov and G. Dzangibekov carried out a series of further effctive research and then gave the complete effctive N(O)ether's condition and index calculation formula. Besides, with the relevant results, we give the representation of solutions and the index formula of the non-homogeneous Dirichlet problem and non-homogeneous Neumann problem for general elliptic systems of second order equations.
机译:关于具有连续系数的二维奇异积分算子的N(O)ether理论,K。 Boimatov和G.Dzangibekov进行了一系列进一步的功效研究,然后给出了完整的N(O)醚功效条件和指数计算公式。此外,结合相关结果,给出了一般二阶椭圆型方程组非齐次Dirichlet问题和非齐次Neumann问题的解和指数公式的表示。

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