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Microlocal analysis, sharp spectral ...

Ivrii, Victor.

Microlocal analysis, sharp spectral asymptotics and applications.II,Functional methods and Eigenvalue asymptotics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Microlocal analysis, sharp spectral asymptotics and applications.by Victor Ivrii.
remainder title:	Functional methods and Eigenvalue asymptotics
Author:	Ivrii, Victor.
Published:	Cham :Springer International Publishing :2019.
Description:	xix, 525 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Microlocal analysis.
Online resource:	https://doi.org/10.1007/978-3-030-30541-3
ISBN:	9783030305413$q(electronic bk.)

Microlocal analysis, sharp spectral asymptotics and applications.II,Functional methods and Eigenvalue asymptotics
Ivrii, Victor.

Microlocal analysis, sharp spectral asymptotics and applications.II,Functional methods and Eigenvalue asymptotics[electronic resource] /Functional methods and Eigenvalue asymptoticsby Victor Ivrii. - Cham :Springer International Publishing :2019. - xix, 525 p. :ill., digital ;24 cm.

Introduction -- Estimates of the spectrum -- Asymptotics of spectra.

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 Schrodinger 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.

ISBN: 9783030305413$q(electronic bk.)

Standard No.: 10.1007/978-3-030-30541-3doiSubjects--Topical Terms:

376869
Microlocal analysis.

LC Class. No.: QA299.6 / .I975 2019

Dewey Class. No.: 515.7242

Microlocal analysis, sharp spectral asymptotics and applications.II,Functional methods and Eigenvalue asymptotics
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245 1 0 $a Microlocal analysis, sharp spectral asymptotics and applications. $n II, $p Functional methods and Eigenvalue asymptotics $h [electronic resource] / $c by Victor Ivrii.
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300 $a xix, 525 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Estimates of the spectrum -- Asymptotics of spectra.
520 $a 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 Schrodinger 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.
650 0 $a Microlocal analysis. $3 376869
650 0 $a Spectral theory (Mathematics) $3 182365
650 0 $a Asymptotic expansions. $3 215351
650 0 $a Eigenvalues $v Congresses. $3 452307
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