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1991 Fiscal Year Final Research Report Summary

Co-operative research of partial differential equations and its applications

Research Project

Project/Area Number 02302005
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionOsaka University

Principal Investigator

IKAWA Mitsuru  Osaka University Faculty of Sciences Professor, 理学部, 教授 (80028191)

Co-Investigator(Kenkyū-buntansha) ICHINOSE Takashi  Kanazawa University Faculty of Sciences Professor, 理学部, 教授 (20024044)
NAKAO Mitsuhiro  Kyushu University College of General Education Professor, 教養部, 教授 (10037278)
KURODA Sigetoshi  Gakushuin University Faculty of Sciences Professor, 理学部, 教授 (20011463)
FUJIWARA Daisuke  Tokyo Institute of Technology Faculty of Sciences Professor, 理学部, 教授 (10011561)
AGEMI Rentaro  Hokkaido University Faculty of Sciences Professor, 理学部, 教授 (10000845)
Project Period (FY) 1990 – 1991
KeywordsElastic Equations / Scattering Theory / Spectrum / Hyperbolic Equations / Hypoellipticity
Research Abstract

The subjects of this research were well achieved by meetings and discussions organized by each investigator and by a big meeting organized co-operatively by the whole investigators.
The subjects of this project are mainly concerned with theory of partial differential equations, but, as a matter of course, the theory of ordinary differential equations has deep relationships with studies of Partial differential equations. Therefore, we have organized the meetings in co-operations with researchers of ordinary differential equations. Thus, naturally the results obtained by this project extend over the whole theory of differential equations.
In the year of 1990, we organized mainly several middle size meetings, whose subjects were concentrated sharply in topics of central subjects of our project. Namely, we studied around Problems of hyperbolic equations, spectral and scattering theory, and elastic equation and hyperbolic problems appeared in engineering. In these meetings, very ardor discussions were exchanged and we have recognized the deep relations between different subjects. These meeting enable us to consider the various topics in partial differential equations in total. This permits us to treat the theory of partial differential equations as a non-separable subject, that is, in a global perspective of differential equations.
In 1991 we organized a big meeting which covers all the fields of differential equations. By these researches we have recognized the variety of the theory of differential equations and generated many germs which will certainly give us many beautiful fruits of mathematics.

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] 井川 満: "On scattering by obstacles" Proceeding of ICMーKyoto. 1145-1154 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 井川 満: "Singular perturbation of symbolic flows and poles of the zeta functions" Osaka J.Math.27. 281-300 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 藤原 大輔: "The stationary phase method with an estimate of the remainder term on a space of large dimension" Nagoya Math.J.124. 61-97 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中尾 慎広: "Remarks on the existence and uniqueness of global decaying solutions of the nonーlinear dissipative wave equation" Math.Z.206. 265-276 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中尾 慎広: "Existence of global smooth solutions to the initialーboundary value problem for the quasiーlinear wave equation with a degenerate dissipative term" J.Diff.Equations.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 一瀬 孝: "Remarks on the Wyle quantized relativistic Hamiltonian" Note di Mathematica.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] IKAWA Mitsuru: "On scattering by obstacles" Proceeding of ICM-Kyoto. 1145-1154 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] IKAWA Mitsuru: "Sigular perturbation of symbolic flows ad poles of the zeta function" Osaka J. Math.27. 281-300 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] FUJIWARA Daisuke: "The Stationary phase method with and estimate of the remainder term on a space of large dimension" Nagoya Math. J.124. 61-67 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] NAKAO Mitshiro: "Remarks on the existence and uniqueness of global decaying solutions of the non-linear dissipative wave equation" Math. Z.206. 265-276 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] NAKAO Mitshiro: "Existence of global smooth solutions to the initial-boundary value problem for the quasi-linear wave equation with a degenerate dissipative term" J. Diff. Equations.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] ICHINOSE Takashi: "Remarks on the Wyle quantized relativestic Hamiltonian" Note di Mathematica.

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1993-03-16  

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