Colombeau generalized functions and solvability of differential operators

被引：0

作者：

Benmeriem, Khaled ^{[1
]}

Bouzar, Chikh ^{[1
]}

机构：

[1] Ctr Univ Mascara, Mascara, Algeria

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2006年 / 25卷 / 04期

关键词：

Colombeau generalized functions; regularized derivatives; Mizohata type operators; solvability of differential operators;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to prove that the well known non solvable Mizohata type partial differential equations have Colombeau generalized solutions which are distributions if and only if they are solvable in the space of Schwartz distributions. Therefore the Colombeau generalized solvability includes both a new solution concept and new mathematical objects as solutions.

引用

页码：467 / 477

页数：11

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