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Sugaku Expositions

Sugaku Expositions contains translations into English of expository articles from the journal Sugaku, published by Iwanami Shoten, publishers for the Mathematical Society of Japan. Published biannually, each issue of Sugaku Expositions contains several expository articles that provide highly informative accounts of a variety of current areas of research.

ISSN 2473-585X (online) ISSN 0898-9583 (print)

The 2020 MCQ for Sugaku Expositions is 0.14.

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The Cauchy problem for differential operators with double characteristics
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by Tatsuo Nishitani
Translated by: Tatsuo Nishitani
Sugaku Expositions 31 (2018), 169-197
DOI: https://doi.org/10.1090/suga/433
Published electronically: September 19, 2018

Abstract:

In this monograph we provide a general picture of the Cauchy problem for differential operators with double characteristics from the viewpoint that the Hamilton map and the geometry of orbits of the Hamilton flow completely characterizes the well/ill-posedness of the Cauchy problem.
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Bibliographic Information
  • Tatsuo Nishitani
  • Affiliation: Department of Mathematics, Osaka University, Toyonaka 560-0043, Osaka, Japan
  • Email: nishitani@math.sci.osaka-u.ac.jp
  • Published electronically: September 19, 2018
  • © Copyright 2018 American Mathematical Society
  • Journal: Sugaku Expositions 31 (2018), 169-197
  • MSC (2010): Primary 35L15, 35L30; Secondary 58J47, 35A21
  • DOI: https://doi.org/10.1090/suga/433
  • MathSciNet review: 3863902