有界区域上的椭圆型偏微分方程组在其边界上的退化

A. Džhuraev
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引用次数: 1

摘要

本文研究了在边界上简并的有界域上由向量场生成的椭圆型偏微分方程组,参见[3](Dzhuraev, A., 1999,奇异偏微分方程(Boca Raton: Chapman & Hall/CRC))和[6](Keldysh, M., 1951,关于椭圆型方程在边界上简并的一些情况。苏联科学院学报,77,181-183(俄文)。
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On elliptic systems of partial differential equations in bounded domains degenerating on their boundaries
In this article we study some elliptic systems of partial differential equations in bounded domains generated by vector fields which degenerate on their boundaries, see also [3] (Dzhuraev, A., 1999, Singular Partial Differential Equations (Boca Raton: Chapman & Hall/CRC)) and [6] (Keldysh, M., 1951, On some cases of degeneracy of elliptic equations on the boundary of the domain. Doklady Academii Nauk SSSR, 77, 181–183 (Russian)).
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