Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultradistributions

被引：0

作者：

Marco Cappiello

Stevan Pilipović

Bojan Prangoski

机构：

[1] Università di Torino,Dipartimento di Matematica

[2] University of Novi Sad,Department of Mathematics and Informatics, Faculty of Sciences

[3] University Ss. Cyril and Methodius,Department of Mathematics, Faculty of Mechanical Engineering

来源：

Journal of Pseudo-Differential Operators and Applications | 2014年 / 5卷

关键词：

Tempered ultradistributions; Pseudodifferential operators; Parametrices; Hypoellipticity; Primary 47G30; Secondary 46F05; 35A17;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We construct parametrices for a class of pseudodifferential operators of infinite order acting on spaces of tempered ultradistributions of Beurling and Roumieu type. As a consequence we obtain a result of hypoellipticity in these spaces.

引用

页码：491 / 506

页数：15

共 50 条

[1] Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultradistributions
Cappiello, Marco
Pilipovic, Stevan
Prangoski, Bojan
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2014, 5 (04) : 491 - 506
[2] Pseudodifferential operators of infinite order in spaces of tempered ultradistributions
Prangoski, Bojan
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2013, 4 (04) : 495 - 549
[3] Pseudodifferential operators of infinite order in spaces of tempered ultradistributions
Bojan Prangoski
[J]. Journal of Pseudo-Differential Operators and Applications, 2013, 4 : 495 - 549
[4] Semilinear pseudodifferential equations in spaces of tempered ultradistributions
Cappiello, Marco
Pilipovic, Stevan
Prangoski, Bojan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 442 (01) : 317 - 338
[5] HYPOELLIPTICITY FOR A CLASS OF PSEUDODIFFERENTIAL OPERATORS WITH DOUBLE CHARACTERISTICS AND RELATED PARAMETRICES
GRIGIS, A
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 280 (16): : 1063 - 1065
[6] PARAMETRICES FOR PSEUDODIFFERENTIAL OPERATORS WITH MULTIPLE CHARACTERISTICS
SJOSTRAND, J
[J]. ARKIV FOR MATEMATIK, 1974, 12 (01): : 85 - 130
[7] HYPOELLIPTICITY IN COMPLEXES OF PSEUDODIFFERENTIAL OPERATORS
KIM, J
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (03) : 480 - 484
[8] PARAMETRICES FOR NONREGULAR ELLIPTIC PSEUDODIFFERENTIAL-OPERATORS
MARSCHALL, J
[J]. MATHEMATISCHE NACHRICHTEN, 1992, 159 : 175 - 188
[9] Hypoellipticity in spaces of ultradistributions—Study of a model case
Paulo D. Cordaro
Nicholas Hanges
[J]. Israel Journal of Mathematics, 2012, 191 : 771 - 789
[10] HYPOELLIPTICITY OF PSEUDODIFFERENTIAL OPERATORS WITH DOUBLE CHARACTERISTICS
HELFFER, B
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 281 (19): : 801 - 803

← 1 2 3 4 5 →