Elementary Construction of the Sheaf of Small 2-microfunctions and an Estimate of Supports

Elementary Construction of the Sheaf of Small 2-microfunctions and an Estimate of Supports
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小 2 微函数层的初步构造和支撑估计

DOI:
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发表时间:
1998
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通讯作者:
Shota Funakoshi
Shota Funakoshi
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文献类型:
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作者:
Shota Funakoshi

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本文的目的是给出2-微函数层的初等构造,并得到系数为该层的解复形的支集的估计。作为应用,我们给出了一类特征变量为拉格朗日的微分方程在微函数框架下的可解性结果。
The aim of this paper is to give our elementary con- struction of the sheaf of small 2-microfunctions and obtain an estimate of the support of solution complexes with coefficients in this sheaf. As applications we show results of solvability in the frameworkof mi- crofunctions for a class of differential equations whose characteristic varieties are Lagrangian.