On the solutions of some classes of PDE with singular coefficients

被引：2

作者：

Bentrad, A. ^{[1
]}

机构：

[1] Univ Reims, Lab Math Fre 2011, Reims, France

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2020年 / 65卷 / 05期

关键词：

Cauchy problem; Appell's function F-3; singular coefficients; singular solutions; EQUATION;

D O I：

10.1080/17476933.2019.1623207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the linear Cauchy problem with analytic data for two models of second order operators with singular coefficients. We show that the propagation of the singularities of the coefficients of the subprincipal part of the operators generate singularities on the union of the characteristic surfaces, on the surfaces , and on the characteristic cone too.

引用

页码：765 / 774

页数：10

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