Microlocal analysis, sharp spectral asymptotics and applications. I, Semiclassical microlocal analysis and local and microlocal semiclassical asymptotics / Victor Ivrii.
Ivrii, Victor, 1949- author.
2019
QA299.6 .I87 2019eb
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Title Microlocal analysis, sharp spectral asymptotics and applications. I, Semiclassical microlocal analysis and local and microlocal semiclassical asymptotics / Victor Ivrii.
Author Ivrii, Victor, 1949- author.
ISBN 9783030305574 (electronic book)
3030305570 (electronic book)
9783030305567
DOI https://doi.org/10.1007/978-3-030-30557-4
https://doi.org/10.1007/978-3-030-30
Published Cham : Springer, [2019]
Copyright ©2019
Language English
Description 1 online resource
Item Number 10.1007/978-3-030-30557-4 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 general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.
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 24, 2019).
Available in Other Form Microlocal Analysis, Sharp Spectral Asymptotics and Applications I : Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics
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Introduction
Semiclassical micrological analysis
Local and microlocal semiclassical spectral asymptotics.

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