02915nam 22005295 450 991034932060332120200706174126.03-030-30541-410.1007/978-3-030-30541-3(CKB)4100000009273653(DE-He213)978-3-030-30541-3(MiAaPQ)EBC5896673(PPN)269145613(EXLCZ)99410000000927365320190911d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierMicrolocal Analysis, Sharp Spectral Asymptotics and Applications II Functional Methods and Eigenvalue Asymptotics /by Victor Ivrii1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XIX, 525 p. 1 illus.) 3-030-30540-6 Includes bibliographical references and index.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.Mathematical analysisAnalysis (Mathematics)Mathematical physicsAnalysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Mathematical analysis.Analysis (Mathematics).Mathematical physics.Analysis.Mathematical Physics.515Ivrii Victorauthttp://id.loc.gov/vocabulary/relators/aut478877MiAaPQMiAaPQMiAaPQBOOK9910349320603321Microlocal Analysis, Sharp Spectral Asymptotics and Applications II2510588UNINA