Besov regularity in non-linear generalized functions

被引：0

作者：

Pilipovic, Stevan ^{[1
]}

Scarpalezos, Dimitris ^{[2
]}

Vindas, Jasson ^{[3
]}

机构：

[1] Univ Novi Sad, Dept Math & Informat, Trg Dositeja Obradovica 4, Novi Sad 21000, Serbia

[2] Univ Paris 07, Ctr Math Jussieu, Case Postale 7012,2 Pl Jussieu, F-75251 Paris 05, France

[3] Univ Ghent, Dept Math Anal Log & Discrete Math, Krijgslaan 281, B-9000 Ghent, Belgium

来源：

MONATSHEFTE FUR MATHEMATIK | 2023年 / 201卷 / 02期

关键词：

Algebras of generalized functions; Besov spaces; Regularity of distributions; ALGEBRAS;

D O I：

10.1007/s00605-022-01783-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and study new modules and spaces of generalized functions that are related to the classical Besov spaces. Various Schwartz distribution spaces are naturally embedded into our new generalized function spaces. We obtain precise criteria for detecting Besov regularity of distributions.

引用

页码：483 / 498

页数：16

共 50 条

[1] Besov regularity in non-linear generalized functions
Stevan Pilipović
Dimitris Scarpalézos
Jasson Vindas
[J]. Monatshefte für Mathematik, 2023, 201 : 483 - 498
[2] Non-linear expectations in spaces of Colombeau generalized functions
Filinkov, Alexei
Elliott, Robert J.
[J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2019, 37 (04) : 509 - 521
[3] REGULARITY FOR A CLASS OF NON-LINEAR INEQUALITIES
VEIGA, HBD
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1970, 271 (01): : 23 - &
[4] Partial regularity in non-linear elasticity
Guidorzi, M
[J]. MANUSCRIPTA MATHEMATICA, 2002, 107 (01) : 25 - 41
[5] Partial regularity in non-linear elasticity
M. Guidorzi
[J]. manuscripta mathematica, 2002, 107 : 25 - 41
[6] Implementation of a generalized exponential basis functions method for linear and non-linear problems
Mossaiby, F.
Ghaderian, M.
Rossi, R.
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2016, 105 (03) : 221 - 240
[7] GENERALIZED NON-LINEAR INTERPOLATION
LITVIN, ON
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1980, (01): : 10 - 14
[8] A CLASS OF GENERALIZED BESSEL FUNCTIONS OCCURRING IN NON-LINEAR DIFFERENTIAL EQUATION
邓乃扬
[J]. Science China Mathematics, 1982, (12) : 1258 - 1270
[9] A CLASS OF GENERALIZED BESSEL FUNCTIONS OCCURRING IN NON-LINEAR DIFFERENTIAL EQUATION
邓乃扬
[J]. ScienceinChina,Ser.A., 1982, Ser.A.1982 (12) - 1270
[10] LINEAR AND NON-LINEAR DISCRIMINATING FUNCTIONS
Lubin, A.
[J]. BRITISH JOURNAL OF PSYCHOLOGY-STATISTICAL SECTION, 1950, 3 : 90 - 104

← 1 2 3 4 5 →