Microlocal Analysis, Sharp Spectral Asymptotics and Applications II - Functional Methods and Eigenvalue Asymptotics (Paperback, 1st ed. 2019)

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 Schroedinger 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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Release date:	September 2020
First published:	2019
Authors:	Victor Ivrii
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	525
Edition:	1st ed. 2019
ISBN-13:	978-3-03-030543-7
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	3-03-030543-0
Barcode:	9783030305437

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