Microlocal Analysis Sharp Spectral Asymptotics And Applications Ii
Download Microlocal Analysis Sharp Spectral Asymptotics And Applications Ii full books in PDF, epub, and Kindle. Read online free Microlocal Analysis Sharp Spectral Asymptotics And Applications Ii ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Victor Ivrii |
Publisher |
: Springer Nature |
Total Pages |
: 525 |
Release |
: 2019-09-11 |
ISBN-10 |
: 9783030305413 |
ISBN-13 |
: 3030305414 |
Rating |
: 4/5 (13 Downloads) |
Synopsis Microlocal Analysis, Sharp Spectral Asymptotics and Applications II by : Victor Ivrii
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.
Author |
: Victor Ivrii |
Publisher |
: Springer Nature |
Total Pages |
: 739 |
Release |
: 2019-09-13 |
ISBN-10 |
: 9783030305611 |
ISBN-13 |
: 3030305619 |
Rating |
: 4/5 (11 Downloads) |
Synopsis Microlocal Analysis, Sharp Spectral Asymptotics and Applications V by : Victor Ivrii
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 methods developed in Volumes I, II, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.
Author |
: Victor Ivrii |
Publisher |
: Springer Nature |
Total Pages |
: 729 |
Release |
: 2019-09-12 |
ISBN-10 |
: 9783030305376 |
ISBN-13 |
: 3030305376 |
Rating |
: 4/5 (76 Downloads) |
Synopsis Microlocal Analysis, Sharp Spectral Asymptotics and Applications III by : Victor Ivrii
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 methods developed in Volumes I and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3.
Author |
: Victor Ivrii |
Publisher |
: Springer Nature |
Total Pages |
: 714 |
Release |
: 2019-09-11 |
ISBN-10 |
: 9783030305451 |
ISBN-13 |
: 3030305457 |
Rating |
: 4/5 (51 Downloads) |
Synopsis Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV by : Victor Ivrii
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 methods developed in Volumes I, II and III are applied to the Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.
Author |
: Victor Ivrii |
Publisher |
: Springer |
Total Pages |
: 0 |
Release |
: 2019-09-26 |
ISBN-10 |
: 3030305562 |
ISBN-13 |
: 9783030305567 |
Rating |
: 4/5 (62 Downloads) |
Synopsis Microlocal Analysis, Sharp Spectral Asymptotics and Applications I by : Victor Ivrii
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.
Author |
: Victor Ivrii |
Publisher |
: |
Total Pages |
: |
Release |
: 2019 |
ISBN-10 |
: 3030305627 |
ISBN-13 |
: 9783030305628 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Microlocal Analysis, Sharp Spectral Asymptotics and Applications by : Victor Ivrii
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 methods developed in Volumes I, II, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.
Author |
: Victor Ivrii |
Publisher |
: |
Total Pages |
: |
Release |
: 2019 |
ISBN-10 |
: 3030305422 |
ISBN-13 |
: 9783030305420 |
Rating |
: 4/5 (22 Downloads) |
Synopsis Microlocal Analysis, Sharp Spectral Asymptotics and Applications by : Victor Ivrii
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.
Author |
: Victor Ivrii |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 2019 |
ISBN-10 |
: 3030305465 |
ISBN-13 |
: 9783030305468 |
Rating |
: 4/5 (65 Downloads) |
Synopsis Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV by : Victor Ivrii
Author |
: Victor Ivrii |
Publisher |
: Springer Nature |
Total Pages |
: 889 |
Release |
: 2019-09-12 |
ISBN-10 |
: 9783030305574 |
ISBN-13 |
: 3030305570 |
Rating |
: 4/5 (74 Downloads) |
Synopsis Microlocal Analysis, Sharp Spectral Asymptotics and Applications I by : Victor Ivrii
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.
Author |
: Victor Ivrii |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 756 |
Release |
: 1998-05-20 |
ISBN-10 |
: 3540627804 |
ISBN-13 |
: 9783540627807 |
Rating |
: 4/5 (04 Downloads) |
Synopsis Microlocal Analysis and Precise Spectral Asymptotics by : Victor Ivrii
This long awaited book is devoted to the methods of microlocal semiclassical analysis in application to spectral asymptotics with accurate remainder estimates. The very powerful machinery of local and microlocal semiclassical spectral asymptotics is developed as well as methods in combining these asymptotics with spectral estimates. The rescaling technique should be mentioned as an easy as to use and very powerful tool. Many theorems, considered before as independent and difficult, now are just special cases of easy corollaries of the theorems proved in the book. Most of the results and almost all the proofs are as yet unpublished