On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities

Lyonell Boulton; Michael Levitin; Marco Marletta

doi:10.1016/j.jde.2010.08.010

On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities

Lyonell Boulton
, Michael Levitin
, Marco Marletta

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We prove that all the eigenvalues of a certain highly non-self-adjoint Sturm-Liouville differential operator are real. The results presented are motivated by and extend those recently found by various authors (Benilov et al. (2003) [3], Davies (2007) [7] and Weir (2008) [18]) on the stability of a model describing small oscillations of a thin layer of fluid inside a rotating cylinder. © 2010 Elsevier Inc.

Original language	English
Pages (from-to)	3081-3098
Number of pages	18
Journal	Journal of Differential Equations
Volume	249
Issue number	12
DOIs	https://doi.org/10.1016/j.jde.2010.08.010
Publication status	Published - 15 Dec 2010

Keywords

Non-Hermitian Hamiltonians
Non-self-adjoint
PT-symmetry
Sturm-Liouville operators

Access to Document

10.1016/j.jde.2010.08.010

Cite this

@article{9d096ee565e74986b114301edece8958,

title = "On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities",

abstract = "We prove that all the eigenvalues of a certain highly non-self-adjoint Sturm-Liouville differential operator are real. The results presented are motivated by and extend those recently found by various authors (Benilov et al. (2003) [3], Davies (2007) [7] and Weir (2008) [18]) on the stability of a model describing small oscillations of a thin layer of fluid inside a rotating cylinder. {\textcopyright} 2010 Elsevier Inc.",

keywords = "Non-Hermitian Hamiltonians, Non-self-adjoint, PT-symmetry, Sturm-Liouville operators",

author = "Lyonell Boulton and Michael Levitin and Marco Marletta",

year = "2010",

month = dec,

day = "15",

doi = "10.1016/j.jde.2010.08.010",

language = "English",

volume = "249",

pages = "3081--3098",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

number = "12",

}

TY - JOUR

T1 - On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities

AU - Boulton, Lyonell

AU - Levitin, Michael

AU - Marletta, Marco

PY - 2010/12/15

Y1 - 2010/12/15

N2 - We prove that all the eigenvalues of a certain highly non-self-adjoint Sturm-Liouville differential operator are real. The results presented are motivated by and extend those recently found by various authors (Benilov et al. (2003) [3], Davies (2007) [7] and Weir (2008) [18]) on the stability of a model describing small oscillations of a thin layer of fluid inside a rotating cylinder. © 2010 Elsevier Inc.

AB - We prove that all the eigenvalues of a certain highly non-self-adjoint Sturm-Liouville differential operator are real. The results presented are motivated by and extend those recently found by various authors (Benilov et al. (2003) [3], Davies (2007) [7] and Weir (2008) [18]) on the stability of a model describing small oscillations of a thin layer of fluid inside a rotating cylinder. © 2010 Elsevier Inc.

KW - Non-Hermitian Hamiltonians

KW - Non-self-adjoint

KW - PT-symmetry

KW - Sturm-Liouville operators

UR - https://www.scopus.com/pages/publications/78049273256

U2 - 10.1016/j.jde.2010.08.010

DO - 10.1016/j.jde.2010.08.010

M3 - Article

SN - 0022-0396

VL - 249

SP - 3081

EP - 3098

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 12

ER -

On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this