Singularities in Fuchsian Cauchy Problems with Holomorphic Data
Singularities in Fuchsian Cauchy Problems with Holomorphic Data
复制标题
全纯数据傅克斯柯西问题中的奇点
DOI：
10.2977/prims/1195144760
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发表时间：
1998
影响因子：
1.2
通讯作者：
H. Yamane
中科院分区：
文献类型：
--
作者：
H. Yamane
Baouendi和Goulaouic证明了权值为m-m '的Fuchsian偏微分算子的全纯Cauchy问题在其特征指数避开整数> m-m时具有唯一解。在本文中，我们考虑了当某些特征指数取整值>m - m'时解的奇异性。
It has been proved by Baouendi and Goulaouic that the holomorphic Cauchy problem for a Fuchsian partial differential operator of weight m—m' has a unique solution if its characteristic exponents avoid integers >m—m. In the present paper we consider the singularity of the solution which appears if some of the characteristic exponents take integral values >m— m'