Microlocal Analysis, Sharp Spectral Asymptotics And Applications Ii - Ivrii Victor | Libro Springer 09/2019 - HOEPLI.it


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ivrii victor - microlocal analysis, sharp spectral asymptotics and applications ii

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




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 09/2019
Edizione: 1st ed. 2019





Sommario

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




Trama

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.





Autore

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).


 









Altre Informazioni

ISBN:

9783030305406

Condizione: Nuovo
Dimensioni: 235 x 155 mm Ø 980 gr
Formato: Copertina rigida
Illustration Notes:1 Illustrations, black and white
Pagine Arabe: 525
Pagine Romane: xix






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