Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Released on by Victor Ivrii
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  • Microlocal Analysis, Sharp Spectral Asymptotics and Applications V Book Detail

  • Author : Victor Ivrii
  • Release Date : 2019-09-13
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 739
  • ISBN 13 : 3030305619
  • File Size : 39,39 MB
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications V by Victor Ivrii PDF Summary

Book Description: 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 methods developed in Volumes I, II, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.

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