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Communications on Pure and Applied Mathematics
Article . 2003 . Peer-reviewed
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zbMATH Open
Article . 2004
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Pseudospectra of semiclassical (pseudo‐) differential operators

Pseudospectra of semiclassical (pseudo-) differential operators
Authors: Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej;

Pseudospectra of semiclassical (pseudo‐) differential operators

Abstract

The authors show how methods from micro-local analysis can be applied to the study of the (pseudo-)spectra of non-selfadjoint operators arising in semiclassical analysis.

Keywords

pseudo-differential operators, Schrödinger operator, Schrödinger equation, General theory of partial differential operators, Pseudodifferential operators as generalizations of partial differential operators, micro-local analysis, General topics in linear spectral theory for PDEs, quantization, Pseudodifferential operators, non-selfadjoint spectral analysis

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    90
    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
90
Top 10%
Top 1%
Top 10%
bronze