On Gevrey vectors of some partial differential operators

被引：8

作者：

Derridj, M. ^{[1
]}

机构：

[1] Univ Rouen, Les Loges En Josas, France

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2017年 / 62卷 / 10期

关键词：

Gevrey vectors; hypoellipticity; vector fields; Hormander's operators; ANALYTIC VECTORS; HYPOELLIPTIC-OPERATORS; REGULARITY; SQUARES; SUMS; EQUATIONS; FIELDS; SYSTEMS;

D O I：

10.1080/17476933.2016.1258067

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our aim is to give a result on Gevrey regularity for Gevrey vectors (in L-2-space) for Hormander's operators and a very short survey of some works in the area, particularly recent ones on systems of vector fields or the partial differential operators of second-order associated to these systems. We also recall the regularity results in the case of elliptic operators or of principal type.

引用

页码：1474 / 1491

页数：18

共 50 条

[31] On a Gevrey-nonsolvable partial differential operator
Oliaro, A
Recent Advances in Operator Theory and Its Applications: The Israel Gohberg Anniversary Volume, 2005, 160 : 337 - 356
[32] Structure and Gevrey asymptotic of solutions representing topological defects to some partial differential equations
Aguareles, M.
Baldoma, I.
NONLINEARITY, 2011, 24 (10) : 2813 - 2847
[33] Regularity and solvability of linear differential operators in Gevrey spaces
Araujo, G.
MATHEMATISCHE NACHRICHTEN, 2018, 291 (5-6) : 729 - 758
[34] On the action of pseudo-differential operators on Gevrey spaces
Morisse, Baptiste
ASYMPTOTIC ANALYSIS, 2020, 117 (1-2) : 27 - 42
[35] Prescribing Gevrey singularities for solutions of pseudo differential operators
Albanese, Angela Ama
Popivanov, Petar
Zanghirati, Luisa
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2009, 49 (02): : 287 - 306
[36] Quasihomogeneous Gevrey wave front and iterates of differential operators
Chaili R.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2014, 60 (2) : 339 - 345
[37] Pseudo-differential type operators and Gevrey spaces
Waphare, B. B.
Gajbhiv, S. G.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2020, 13 (01)
[38] MICROSOLUTIONS OF DIFFERENTIAL OPERATORS AND VALUES OF ARITHMETIC GEVREY SERIES
Fischler, S.
Rivoal, T.
AMERICAN JOURNAL OF MATHEMATICS, 2018, 140 (02) : 317 - 348
[39] LOCAL ESTIMATES FOR HORMANDER'S OPERATORS OF FIRST KIND WITH ANALYTIC GEVREY COEFFICIENTS AND APPLICATION TO THE REGULARITY OF THEIR GEVREY VECTORS
Derridj, Makhlouf
PACIFIC JOURNAL OF MATHEMATICS, 2019, 302 (02) : 511 - 543
[40] Global Gevrey vectors
Hoepfner G.
Raich A.
Rampazo P.
Complex Analysis and its Synergies, 2023, 9 (3)

← 1 2 3 4 5 →