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Pseudospectra of semiclassical (pseudo-) differential operators

Dencker, Nils ; Sjöstrand, Johannes ; Zworski, Maciej

Communications on pure and applied mathematics, 2004-03, Vol.57 (3), p.384-415 [Periódico revisado por pares]

Hoboken: Wiley Subscription Services, Inc., A Wiley Company

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Título:
Pseudospectra of semiclassical (pseudo-) differential operators
Autor: Dencker, Nils ; Sjöstrand, Johannes ; Zworski, Maciej
Assuntos: Exact sciences and technology ; Matematik ; Mathematical analysis ; Mathematics ; Natural Sciences ; Naturvetenskap ; non-selfadjoint operators ; Operator theory ; principal type ; pseudospectrum ; Sciences and techniques of general use ; semiclassical operators
É parte de: Communications on pure and applied mathematics, 2004-03, Vol.57 (3), p.384-415
Notas: ark:/67375/WNG-NJ0XPRLH-W
National Science Foundation - No. DMS-0200732
istex:276098ADFB086A6D93D44384CAF1C9596478B139
ArticleID:CPA20004
Descrição: The pseudo-spectra (or spectral instability) of non-selfadjoint operators is a topic of current interest in applied mathematics. For example, in computational fluid dynamics it affects the study of the stability of laminar flows. In fact, even for the most basic flows, the computations entirely fails to predict what is observed in the experiments. The explanation is that for non-normal operators the resolvent could be very large far away from the spectrum, which makes computation of the eigenvalues impossible. The occurence of ``false eigenvalues'' is due to the existence of quasi-modes, i.e., approximate local solutions to the eigenvalue problem. The quasi-modes appear since the Nirenberg-Treves condition (Psi) is not satisfied for topological reasons.
Editor: Hoboken: Wiley Subscription Services, Inc., A Wiley Company
Idioma: Inglês

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Pseudospectra of semiclassical (pseudo-) differential operators

Dencker, Nils ; Sjöstrand, Johannes ; Zworski, Maciej

Hoboken: Wiley Subscription Services, Inc., A Wiley Company

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