Notes on regularity results in Colombeau algebras

被引：3
|
作者：
Oberguggenberger, M. [1 ]
机构：
[1] Univ Innsbruck, A-6020 Innsbruck, Austria
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2006年 / 17卷 / 2-3期
基金：
奥地利科学基金会;
关键词：
Colombeau algebras; partial differential equations; regularity of solutions;
D O I：
10.1080/10652460500436601
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article introduces and discusses various notions of regularity of solutions to partial differential equations in Colombeau algebras. The aim is to suggest a number of approaches that allow to extend the regularity theory to nonlinear equations.
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页码：101 / 107
页数：7
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