Abstract
We study the spectral stability for a nonselfadjoint convection-diffusion operator on an unbounded two dimensional domain starting from a result on the pseudospectrum.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. B. Davies, J. Operator Theory, 43, 243 (2000).
E. B. Davies, Spectral Theory and Differential Operators (Cambridge University Press, 1995).
T. Kato, Perturbation Theory of Linear Operators (Springer-Verlag, Berlin, Heidelberg and New York, 1980).
L. Boulton, “Non-self-adjoint harmonic oscillator, compact semigroups and pseudospectra”, preprint, Kings College London, 1999, Maths.SP/9909179.
S. C. Reddy and L. N. Trefethen, SIAMJ. Appl. Math. 54, 1634 (1994).
S. Roch and B. Silbermann, J. Operator Theory 35, 241 (1996).
L. N. Trefethen, Pseudospectra of matrices, p. 234–266 in D. F. Griffiths and G. A. Watson, Numerical Analysis (Longman Sci. Tech. Publ., Harlow, UK, 1992).
L. N. Trefethen, SIAM Review 39, 383 (1997).
R. A. Adams, Sobolev Spaces (Academic Press, New York, 1975).
E. Shargorodsky, Bull. London Math. Soc. 41, 524 (2009).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Guebbai, H., Largillier, A. Spectra and pseudospectra of convection-diffusion operator. Lobachevskii J Math 33, 274–283 (2012). https://doi.org/10.1134/S1995080212030079
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1995080212030079