Microlocal Analysis, Sharp Spectral Asymptotics and Applications II
Language: English
Published by Springer International Publishing, Springer Nature Switzerland Sep 2020, 2020
- Softcover
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This item is printed on demand - it takes 3-4 days longer - Neuware -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, andmultiparticle 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. 548 pp. Englisch.…
Seller Inventory # 9783030305437
- Title
- Microlocal Analysis, Sharp Spectral Asymptotics and Applications II
- Author
- Victor Ivrii
- Publisher
- Springer International Publishing, Springer Nature Switzerland Sep 2020
- Publication year
- 2020
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3030305430
- ISBN 13
- 9783030305437
- Item weight
- 820 grams
- Dimensions
- 235x155x30 mm
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.
"Synopsis" may belong to another edition of this title.
About the Author
VICTOR IVRII is a professor of mathematics at the University of Toronto. His areas of specialization are analysis, microlocal analysis, spectral theory, partial differential equations and applications to mathematical physics. He proved the Weyl conjecture in 1979, and together with Israel M. Sigal he justified the Scott correction term for heavy atoms and molecules in 1992. He is a Fellow of the Royal Society of Canada (since 1998) and of American Mathematical Society (since 2012).
"About the title" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
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