Kniha Microlocal Analysis, Sharp Spectral Asymptotics and Applications II Victor Ivrii

Microlocal Analysis, Sharp Spectral Asymptotics and Applications II

Functional Methods and Eigenvalue Asymptotics

Autor: Victor Ivrii
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
2 742
The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectr...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2019
Stránek
525
EAN
9783030305406
Enbook ID
24519830
Hmotnost
980
Rozměry
155 x 235 x 35

Kompletní popis

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in "small" domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the local spectral asymptotics of Volume I in the regular part of the domain are combined with variational estimates in the vicinity of singularities, and global asymptotics are derived in the general form. They are then applied to multiple cases and asymptotics with respect to a spectral parameter. Finally, cases in which only general methods but not the results can be applied (non-standard asymptotics) are studied.

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