Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics

Authors: Ivrii, Victor

Free Preview
  • Research monograph for researchers and graduate students in Mathematics and Mathematical PhysicsMost comprehensive work about the topicUse of technique, developed by the author during more than 40 years

書籍の購入

イーブック n/a
  • ISBN 978-3-030-30557-4
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
ハードカバー n/a
  • ISBN 978-3-030-30556-7
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
この書籍について

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 general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.




著者について

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).

Table of contents (8 chapters)

Table of contents (8 chapters)
  • Introduction to Microlocal Analysis

    Pages 2-125

    Ivrii, Victor

  • Propagation of Singularities in the Interior of the Domain

    Pages 126-195

    Ivrii, Prof. Victor

  • Propagation of Singularities near the Boundary

    Pages 196-284

    Ivrii, Prof. Victor

  • General Theory in the Interior of the Domain

    Pages 286-406

    Ivrii, Prof. Victor

  • Scalar Operators in the Interior of the Domain. Rescaling Technique

    Pages 407-520

    Ivrii, Prof. Victor

書籍の購入

イーブック n/a
  • ISBN 978-3-030-30557-4
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
ハードカバー n/a
  • ISBN 978-3-030-30556-7
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
Loading...

この書籍のサービス情報

あなたへのおすすめ

Loading...

書誌情報

Bibliographic Information
Book Title
Microlocal Analysis, Sharp Spectral Asymptotics and Applications I
Book Subtitle
Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics
Authors
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
イーブック ISBN
978-3-030-30557-4
DOI
10.1007/978-3-030-30557-4
ハードカバー ISBN
978-3-030-30556-7
Edition Number
1
Number of Pages
XLIX, 889
Number of Illustrations
1 b/w illustrations
Topics