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1987 Fiscal Year Final Research Report Summary

Study of Partial Differential Equations by the Method of Complex Analysis

Research Project

Project/Area Number 61540106
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionKyoto Institute of Technology

Principal Investigator

HAMADA Yusaku  Professor, Faculty of Engineering and Design, Kyoto Institute of Technology, 工芸学部, 教授 (90027764)

Co-Investigator(Kenkyū-buntansha) NAKAOKA Akira  Professor, Technical College, Kyoto Institute of Technology, 工業短期大学部, 教授 (90027920)
INOUE Yoshiro  Professor, Faculty of Textile Science, Kyoto Institute of Technology, 繊維学部, 教授 (30027841)
MAITANI Fumio  Associate Professor, Faculty of Engineering and Design, Kyoto Institute of Techn, 工芸学部, 助教授 (10029340)
KAWADA Yutaka  Professor, Faculty of Engineering and Design, Kyoto Institute of Technology, 工芸学部, 教授 (50027744)
SAINOUCHI Yoshikazu  Professor, Faculty of Engineering and Design, Kyoto Institute of Technology, 工芸学部, 教授 (00027757)
Project Period (FY) 1986 – 1987
KeywordsPartial Differential Equations / 複素解析学
Research Abstract

The purpose of this research project is the studies on the partial differential equations by the method of complex analysis. Namely, applying the various results in the complex analysis to the partial differential equations, we analyze the structure of the solutions and their complex analytic behaviors. We also purpose to study the complex analysis by using the theory of partial differential equations.
The contributions of the members of this research profject consist of the various fields: Partial differential equations, Complex analysis, Algebra, Topology, Stochastic Process. Our collabroration and the mutual discussion may be able to study successively our subject.
Grant-In-Aid for Scientific Research (C) has been able to cover the travel expenses to participate in the symposia, seminars, formal and informal meetings in related topics and fields.
Thus, during 1986-87, our results obtained by these activities have been published in mathematical journals and others. We hope that our results will contribute to the promotion of the research in the field.

  • Research Products

    (11 results)

All Other

All Publications (11 results)

  • [Publications] Yoshikazn Sainouchi: J.Math.Kyoto Univ.26. 65-72 (1986)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Fumio Maitani: Memoirs of the Faculty of Engineering and Design Kyoto Institute of Technology. 34. 1-11 (1986)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Akira Nakaoka: J.Math.Kyoto Univ.26. 339-355 (1986)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Shigeyoshi Ogawa: Patterns and Waves-Qualitative analysis of nonlinear differential equations. 597-605 (1986)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Jun Uchiyama: Publ.RIMS.Kyoto Univ.(1988)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Hiroyuki Okura: Proceedings to the lst World Congress of the Bernoulli Society,Tashkent. 1. 663-666 (1987)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Yoshikazu Sainouchi: "Some remarks on meromorphic functions on open Riemann Surfaces" J. Math. Kyoto Univ.26. 65-72 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Fumio Maitani: "Aberian Teichmuller disks restricted by behavior" Memoirs of the Faculty of Engineering and Design Kyoto Institute of Technology. 34. 1-11 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Akira Nakaoka: "On singular solutions for some first order partial differential equations with degenerate principal symbols" J. Math. Kyoto Univ.26. 339-355 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigeyoshi Ogawa: "On the stochastic Integral Equation of Fredholm Type" Patterns and Waves -- Qualitative analysis of nonlinear differential equations. 597-605 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Jun Kuchiyama: "Polynomial growth or decay of eigenfunctions of second-order elliptic operators" Publ. RIMS. Kyoto Univ.(1988)

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

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Published: 1989-03-30  

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