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
Väzba: Pevná
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
119.75
The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectr...

Informácie o knihe

Autor
Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2019
Stránok
525
EAN
9783030305406
Enbook ID
24519830
Hmotnosť
980
Rozmery
155 x 235 x 35

Kompletný 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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