Spectral bounds and basis results for non-self-adjoint pencils, with an application to Hagen-Poiseuille flow

DOI10.1016/J.JFA.2013.02.008zbMath1262.47006OpenAlexW2046145590WikidataQ115180789 ScholiaQ115180789MaRDI QIDQ1950186

Christiane Tretter, Marco Marlettta

Publication date: 10 May 2013

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2013.02.008

zbMATH Keywords

stabilityRiesz basissingular differential equationsHagen-Poiseuille flowBari basisnonselfadjoint operator pencil

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Navier-Stokes equations (35Q30) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Applications of operator theory to differential and integral equations (47N20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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Essential spectrum of elliptic systems of pseudo-differential operators on \(L^2(\mathbb {R}^N) \oplus L^2(\mathbb {R}^N)\)

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