SINGULAR DIRECTIONS OF WF(u) AND ITS APPLICATION

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Hong Jiaxing.SINGULAR DIRECTIONS OF WF(u) AND ITS APPLICATION[J].Chinese Annals of Mathematics B,1986,7(2):160~173
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Authors:

Hong Jiaxing;
Abstract: This paper introduces the notion of the singular direction of wave front sets for distributions and proves the invariance of the singular direction under the elliptic equivalent transformation. A kind of Fourier integral operators, which ensure such invariance are also investigated. The results obtained are applied to the propagation of singularities for a class of differential operators with multiple characteristics.

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