Microlocal analysis, sharp spectral asymptotics and applications. II, Functional methods and Eigenvalue asymptotics /
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| Author / Creator: | Ivrii, Victor, 1949- author. |
|---|---|
| Imprint: | Cham : Springer, [2019] ©2019 |
| Description: | 1 online resource |
| Language: | English |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11956453 |
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| 100 | 1 | |a Ivrii, Victor, |d 1949- |e author. |0 http://id.loc.gov/authorities/names/n84127896 | |
| 245 | 1 | 0 | |a Microlocal analysis, sharp spectral asymptotics and applications. |n II, |p Functional methods and Eigenvalue asymptotics / |c Victor Ivrii. |
| 246 | 3 | 0 | |a Functional methods and Eigenvalue asymptotics |
| 264 | 1 | |a Cham : |b Springer, |c [2019] | |
| 264 | 4 | |c ©2019 | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed September 23, 2019). | |
| 504 | |a Includes bibliographical references and index. | ||
| 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 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. | ||
| 650 | 0 | |a Microlocal analysis. |0 http://id.loc.gov/authorities/subjects/sh92003594 | |
| 650 | 0 | |a Spectral theory (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85126408 | |
| 650 | 0 | |a Asymptotic expansions. |0 http://id.loc.gov/authorities/subjects/sh85009056 | |
| 650 | 0 | |a Eigenvalues. |0 http://id.loc.gov/authorities/subjects/sh85041389 | |
| 650 | 7 | |a Asymptotic expansions. |2 fast |0 (OCoLC)fst00819868 | |
| 650 | 7 | |a Eigenvalues. |2 fast |0 (OCoLC)fst00904031 | |
| 650 | 7 | |a Microlocal analysis. |2 fast |0 (OCoLC)fst01019887 | |
| 650 | 7 | |a Spectral theory (Mathematics) |2 fast |0 (OCoLC)fst01129072 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Ivrii, Victor. |t Microlocal Analysis, Sharp Spectral Asymptotics and Applications II : Functional Methods and Eigenvalue Asymptotics. |d Cham : Springer, ©2019 |z 9783030305406 |
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| 928 | |t Library of Congress classification |a QA299.6 .I87 2019eb |l Online |c UC-FullText |u https://link.springer.com/10.1007/978-3-030-30541-3 |z Springer Nature |g ebooks |i 12563495 | ||