Articoli correlati a Spectral Analysis on Graph-like Spaces: 2039

Spectral Analysis on Graph-like Spaces: 2039 - Brossura

Post, Olaf

 
9783642238390: Spectral Analysis on Graph-like Spaces: 2039
Brossura
ISBN 10: 3642238394 ISBN 13: 9783642238390
Casa editrice: Springer, 2012

Sinossi

Small-radius tubular structures have attracted considerable attention in the last few years, and are frequently used in different areas such as Mathematical Physics, Spectral Geometry and Global Analysis. In this monograph, we analyse Laplace-like operators on thin tubular structures ("graph-like spaces''), and their natural limits on metric graphs. In particular, we explore norm resolvent convergence, convergence of the spectra and resonances. Since the underlying spaces in the thin radius limit change, and become singular in the limit, we develop new tools such as norm convergence of operators acting in different Hilbert spaces, an extension of the concept of boundary triples to partial differential operators, and an abstract definition of resonances via boundary triples. These tools are formulated in an abstract framework, independent of the original problem of graph-like spaces, so that they can be applied in many other situations where the spaces are perturbed.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

Small-radius tubular structures have attracted considerable attention in the last few years, and are frequently used in different areas such as Mathematical Physics, Spectral Geometry and Global Analysis.

In this monograph, we analyse Laplace-like operators on thin tubular structures ("graph-like spaces''), and their natural limits on metric graphs. In particular, we explore norm resolvent convergence, convergence of the spectra and resonances.

Since the underlying spaces in the thin radius limit change, and become singular in the limit, we develop new tools such as

-norm convergence of operators acting in different Hilbert
spaces,

- an extension of the concept of boundary triples to partial
differential operators, and

-an abstract definition of resonances via boundary triples.

These tools are formulated in an abstract framework, independent of the original problem of graph-like spaces, so that they can be applied in many other situations where the spaces are perturbed.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2012
Lingua
Inglese
ISBN 10 
3642238394
ISBN 13 
9783642238390
Rilegatura
Copertina flessibile
Numero di pagine
431
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