Spectrum of a non-self-adjoint operator associated with the periodic heat equation

DOI10.1016/j.jmaa.2007.12.036zbMath1167.35025arXivmath-ph/0702100OpenAlexW2085790178MaRDI QIDQ2481902

Dmitry E. Pelinovsky, Marina Chugunova

Publication date: 15 April 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0702100

zbMATH Keywords

spectrumnumerical approximationadvection-diffusion equationnon-self-adjoint operatorcompleteness and basis of eigenfunctions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

Spectral Analysis of an Operator Arising in Fluid Dynamics ⋮ On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities ⋮ Shooting methods for a PT-symmetric periodic eigenvalue problem ⋮ On bounds of eigenvalues of complex Sturm-Liouville boundary value problems ⋮ CORRESPONDENCE OF THE EIGENVALUES OF A NON‐SELF‐ADJOINT OPERATOR TO THOSE OF A SELF‐ADJOINT OPERATOR ⋮ Spectral parameter power series for Sturm–Liouville problems ⋮ On the stability of a forward-backward heat equation ⋮ An indefinite convection-diffusion operator with real spectrum

Uses Software

• SLEPc
• Eigtool

Cites Work

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