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100   $a20190911d2019      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aMicrolocal Analysis, Sharp Spectral Asymptotics and Applications II $eFunctional Methods and Eigenvalue Asymptotics /$fby Victor Ivrii
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (XIX, 525 p. 1 illus.) 
311   $a3-030-30540-6 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- Estimates of the spectrum -- Asymptotics of spectra.
330   $aThe 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.
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aMathematical physics
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aMathematical physics.
615 14$aAnalysis.
615 24$aMathematical Physics.
676   $a515
700   $aIvrii$b Victor$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478877
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910349320603321
996   $aMicrolocal Analysis, Sharp Spectral Asymptotics and Applications II$92510588
997   $aUNINA