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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Schrödinger operator
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by Tian Lixin and Liu Zengrong PDF
Proc. Amer. Math. Soc. 126 (1998), 203-211 Request permission

Abstract:

In this paper we study the maximum dissipative extension of the Schrödinger operator, introduce the generalized indefinite metric space, obtain the representation of the maximum dissipative extension of the Schrödinger operator in the natural boundary space and make preparation for the further study of the longtime chaotic behavior of the infinite-dimensional dynamics system in the Schrödinger equation.
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Additional Information
  • Tian Lixin
  • Affiliation: Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, 212013, People’s Republic of China
  • Email: lgj@jsust.edu.cn
  • Liu Zengrong
  • Affiliation: Department of Mathematics, Suzhou University, Suzhou, Jiangsu, 215006, People’s Republic of China
  • Received by editor(s): February 28, 1996
  • Received by editor(s) in revised form: July 16, 1996
  • Additional Notes: Research supported in part by the National Science Foundation of China and Science-technology Foundation of the Ministry of Machine-building Industry of China
  • Communicated by: Christopher D. Sogge
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 203-211
  • MSC (1991): Primary 46C50, 47A20, 47B39, 47B44, 81Q05
  • DOI: https://doi.org/10.1090/S0002-9939-98-04014-3
  • MathSciNet review: 1415351