GENERALIZED SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

被引：0

作者：

Caroff, Nathalie ^{[1
]}

机构：

[1] Univ Perpignan, Lab MANO, F-66860 Perpignan, France

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2004年 / 17卷 / 5-6期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Cauchy problem for linear first-order partial differential equations with discontinuous coefficients. We show that, under suitable assumptions, it has a unique continuous solution. Moreover, this solution is stable under perturbation of the coefficients. We also show that this solution can be expressed explicitly by integrating along generalized characteristics.

引用

页码：653 / 668

页数：16

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