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Microlocal Analysis, Sharp Spectral Asymptotics and Applications II = Functional Methods and Eigenvalue Asymptotics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Microlocal Analysis, Sharp Spectral Asymptotics and Applications II/ by Victor Ivrii.
其他題名:	Functional Methods and Eigenvalue Asymptotics /
作者:	Ivrii, Victor.
面頁冊數:	XIX, 525 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-30541-3
ISBN:	9783030305413

Microlocal Analysis, Sharp Spectral Asymptotics and Applications II = Functional Methods and Eigenvalue Asymptotics /
Ivrii, Victor.

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IIFunctional Methods and Eigenvalue Asymptotics /[electronic resource] :by Victor Ivrii. - 1st ed. 2019. - XIX, 525 p. 1 illus.online resource.

Introduction -- Estimates of the spectrum -- Asymptotics of spectra.

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.

ISBN: 9783030305413

Standard No.: 10.1007/978-3-030-30541-3doiSubjects--Topical Terms:

527926
Mathematical analysis.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515

Microlocal Analysis, Sharp Spectral Asymptotics and Applications II = Functional Methods and Eigenvalue Asymptotics /
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