M-Ellipticity of Fredholm Pseudo-differential Operators on Lp(Rn) and Garding's Inequality

被引：0

作者：

Dasgupta, Aparajita ^{[1
]}

Mohan, Lalit ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, New Delhi 110016, India

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 03期

关键词：

M-ellipticity; Fredholm operators; Garding's inequality; SPECTRAL THEORY;

D O I：

10.1007/s12220-023-01192-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the M-ellipticity of Fredholm pseudo-differential operators associated with weighted symbols on L-p(R-n), 1 < p < infinity. We also prove the Garding's inequality for the hybrid class of pseudo-differential operators, namely SG M-elliptic operators. As an application, we obtained existence and uniqueness for parabolic type IVP with weighted symbols.

引用

页数：30

共 31 条

[1] Spectral theory of a hybrid class of pseudo-differential operators [J].

Alimohammady, M. ;

Kalleji, M. K. .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2014, 59 (12) :1573-1588

[2]

Alimohammady M, 2013, J PSEUDO-DIFFER OPER, V4, P371, DOI 10.1007/s11868-013-0071-3

[3]

[Anonymous], 1992, Annals of Global Analysis and Geometry

[4]

[Anonymous], 1958, Journal d'Analyse Mathematique

[5]

[Anonymous], 1981, Princeton Mathematical Series

[6] CHARACTERIZATION OF PSEUDODIFFERENTIAL OPERATORS AND APPLICATIONS [J].

BEALS, R .

DUKE MATHEMATICAL JOURNAL, 1977, 44 (01) :45-57

[7]

Boggiatto P., 2001, REND SEM MAT U POLIT, V59, P229

[8]

BOGGIATTO P, 1996, GLOBAL HYPOELLIPTICI

[9] Difference equations and pseudo-differential operators on Zn [J].

Botchway, Linda N. A. ;

Kibiti, P. Gael ;

Ruzhansky, Michael .

JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (11)

[10] SG-pseudodifferential operators and Gelfand-Shilov spaces [J].

Cappiello, Marco ;

Rodino, Luigi .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (04) :1117-1148

← 1 2 3 4 →