NATURAL TOPOLOGIES ON COLOMBEAU ALGEBRAS

被引：0

作者：

Aragona, Jorge ^{[1
]}

Fernandez, Roseli ^{[1
]}

Juriaans, Stanley O. ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Matemat & Estatist, BR-05311970 Sao Paulo, Brazil

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2009年 / 34卷 / 01期

关键词：

Colombeau algebra; generalized function; sharp topologies; PARABOLIC EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define intrinsic, natural and metrizable topologies T-Omega, T, T-s,T-Omega and T-s in G(Omega), (K) over bar, G(s)(Omega) and (K) over bar (s) respectively. The topology T-Omega induces T, T-s,T-Omega and T-s. The topologies T-s,T-Omega and T-s coincide with the Scarpalezos sharp topologies.

引用

页码：161 / 180

页数：20

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