Algebraic sum of unbounded normal operators and the square root problem of Kato.

被引：0

作者：

Diagana, T ^{[1
]}

机构：

[1] Howard Univ, Dept Math, Washington, DC 20059 USA

来源：

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2003年 / 110卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the algebraic sum of unbounded normal operators satisfies the square root problem of Kato under appropriate hypotheses. As application, we consider perturbed Schrodinger operators.

引用

页码：269 / 275

页数：7

共 40 条

[1] KATO SQUARE ROOT PROBLEM WITH UNBOUNDED LEADING COEFFICIENTS
Escauriaza, Luis
Hofmann, Steve
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (12) : 5295 - 5310
[2] SCHRODINGER OPERATORS AND THE KATO SQUARE ROOT PROBLEM
Bailey, Julian
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021, 104 (01) : 162 - 163
[3] The Kato Square Root Problem for Divergence Form Operators with Potential
Julian Bailey
[J]. Journal of Fourier Analysis and Applications, 2020, 26
[4] The Kato Square Root Problem for Divergence Form Operators with Potential
Bailey, Julian
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020, 26 (03)
[5] On the Kato square root problem
Arlinskii, Yury
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 505 (02)
[6] The Kato square root problem on submanifolds
Morris, Andrew J.
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2012, 86 : 879 - 910
[7] The Kato square root problem for higher order elliptic operators and systems on Rn
Auscher, Pascal
Hofmann, Steve
McIntosh, Alan
Tchamitchian, Philippe
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2001, 1 (04) : 361 - 385
[8] Elliptic differential-difference operators with degeneration and the Kato square root problem
Skubachevskii, A. L.
[J]. MATHEMATISCHE NACHRICHTEN, 2018, 291 (17-18) : 2660 - 2692
[9] Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains
Zhang, Junqiang
Yang, Dachun
Yang, Sibei
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 353 : 1 - 62
[10] The solution of the Kato square root problem for second order elliptic operators on Rn
Auscher, P
Hofmann, S
Lacey, M
McIntosh, A
Tchamitchian, P
[J]. ANNALS OF MATHEMATICS, 2002, 156 (02) : 633 - 654

← 1 2 3 4 →