Some remarks on functoriality of Colombeau's construction; Topological and microlocal aspects and applications

被引：24

作者：

Scarpalezos, D ^{[1
]}

机构：

[1] Univ Paris 07, UFR Math, F-75005 Paris, France

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 1998年 / 6卷 / 1-4期

关键词：

Colombeau extension; sharp topology; Dirichlet problem; microlocalization;

D O I：

10.1080/10652469808819174

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The functorial aspect of Colombeau construction is outlined in order to study linear and nonlinear problems in Colombeau spaces (for example, a nonlinear Dirichlet problem is investigated). An adequate ("sharp") topology gives a sense to "well posedness". The relation between G(infinity)- and C-infinity-regularities is investigated as well as the relation between G(infinity) and C-infinity-microlocalizations.

引用

页码：295 / 307

页数：13

共 15 条

[1] Some remarks on topological horseshoes and applications
Cian, Giuseppe
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 16 : 74 - 89
[2] Some structural properties of the topological ring of Colombeau's generalized numbers
Aragona, J
Juriaans, SO
[J]. COMMUNICATIONS IN ALGEBRA, 2001, 29 (05) : 2201 - 2230
[3] SOME REMARKS ON PTOLEMY'S THEOREM AND ITS APPLICATIONS
Knezevic, Miljan
Savic, Dragana
[J]. TEACHING OF MATHEMATICS, 2020, 23 (01): : 57 - 70
[4] Remarks on some inequalities for s-convex functions and applications
Liu, Zheng
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[5] Remarks on some inequalities for s-convex functions and applications
Zheng Liu
[J]. Journal of Inequalities and Applications, 2015
[6] Some critical remarks on the Stintzing's atomic core construction hypothesis
Reinicke, R
[J]. ZEITSCHRIFT FUR PHYSIK, 1926, 37 (03): : 210 - 216
[7] Remarks Regarding Computational Aspects in Algebras Obtained by Cayley-Dickson Process and Some of Their Applications
Flaut, Cristina
Zaharia, Geanina
[J]. MATHEMATICS, 2022, 10 (07)
[8] PARTY, ARMY AND POWER: ON SOME ASPECTS OF THE CPC's SOVIET CONSTRUCTION
Pozhilov, I. E.
[J]. 70 LYET SOVRYEMYENNOMOO KITAYSKOMOO GOSOODARSTVOO, 2019, : 103 - +
[9] Approximation in Gottingen: some remarks on Robert Schaback's work on its theory and applications
Buhmann, Martin D.
[J]. DOLOMITES RESEARCH NOTES ON APPROXIMATION, 2011, 4 : 3 - 14
[10] ULTRASTRUCTURAL REMARKS ON SOME FUNCTIONAL ASPECTS OF COPULATORY BURSA IN DUGESTA-LUGUBRIS 1S
VAGNETTI, D
FARNESI, RM
TEI, S
MARINELLI, M
[J]. BOLLETTINO DELLA SOCIETA ITALIANA DI BIOLOGIA SPERIMENTALE, 1975, 51 (9-10): : 582 - 587

← 1 2 →