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

7 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

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10.1016/j.jde.2010.08.010

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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.",

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AU - Levitin, Michael

AU - Marletta, Marco

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KW - Non-Hermitian Hamiltonians

KW - Non-self-adjoint

KW - PT-symmetry

KW - Sturm-Liouville operators

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

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ER -

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

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Keywords

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