Microlocal analysis, sharp spectral asymptotics and applications. II, Functional methods and Eigenvalue asymptotics / Victor Ivrii.
Ivrii, Victor, 1949- author.
2019
QA299.6 .I87 2019eb
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Title Microlocal analysis, sharp spectral asymptotics and applications. II, Functional methods and Eigenvalue asymptotics / Victor Ivrii.
Author Ivrii, Victor, 1949- author.
ISBN 9783030305413 (electronic book)
3030305414 (electronic book)
9783030305406
DOI https://doi.org/10.1007/978-3-030-30541-3
https://doi.org/10.1007/978-3-030-30
Published Cham : Springer, [2019]
Copyright ©2019
Language English
Description 1 online resource
Item Number 10.1007/978-3-030-30541-3 doi
10.1007/978-3-030-30
Call Number QA299.6 .I87 2019eb
Dewey Decimal Classification 515/.7242
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed September 23, 2019).
Available in Other Form Microlocal Analysis, Sharp Spectral Asymptotics and Applications II : Functional Methods and Eigenvalue Asymptotics
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Introduction
Estimates of the spectrum
Asymptotics of spectra.

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