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Study of Partial Differential Equations by the Method of Complex Analysis

Research Project

Project/Area Number 05640180
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  Kyoto Institute of Technology, Faculty of Engineering and Design, Professor,, 工芸学部, 教授 (90027764)

Co-Investigator(Kenkyū-buntansha) UCHIYAMA Jun  Kyoto Institute of Technology, Faculty of Textile Sciences, Professor,, 繊維学部, 教授 (70025401)
OKURA Hiroyuki  Kyoto Institute of Technology, Faculty of Engineering and Design, Associate Prof, 工芸学部, 助教授 (80135649)
MIKI Hiroo  Kyoto Institute of Technology, Faculty of Engineering and Design, Professor,, 工芸学部, 教授 (90107368)
NAKAOKA Akira  Kyoto Institute of Technology, Faculty of Engineering and Design, Professor,, 工芸学部, 教授 (90027920)
OGAWA Shigeyoshi  Kyoto Institute of Technology Faculty of Textile Sciences, Professor,, 繊維学部, 教授 (80101137)
米谷 文男  京都工芸繊維大学, 工芸学部, 助教授 (10029340)
Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1994: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1993: ¥800,000 (Direct Cost: ¥800,000)
KeywordsPartial Differential Equations / Complex Analysis / Algebra / Number Theory / Differential Geometry / Topology / Stochastic Process / Numerical Analysis
Research Abstract

The purpose of this research project is to study 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 project consist of the various fields : Partial differential equations, Complex analysis, Algebra, Number theory, Differential Geometry, Topology, Stochastic Process, and Numerical Analysis. Our collaboration and the mutual discussion may be able to study successively our subject.
Grant-In-Aid for Scientific research (C) has enabled us to cover the travel expenses to participate in the symposia, seminars, formal and informal meetings in related topics and fields.
Thus, during 1993-94, 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.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (29 results)

All Other

All Publications (29 results)

  • [Publications] Y.Hamada et A.Takeuchi: "Sur un domaine d'existance et un prolongement analytique des solutions de problemes de Goursat" J.Math.pures et appl.(発表予定). (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] F.Maitani: "Meromorpnic differential restricted by real benavior spaces" Mem.Kyoto Inst.Tech.Ser.Sci.and Tech.41. 1-16 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Miki: "On the conductor of the Jacobi sum Hecke character" Composition Math. 92. 23-41 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Ogawa: "Monte Carlo Simulation of Nonlinear Diffusion Process,II" Japan J.of Indust.Applied Math.11. 31-45 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Okura: "On the invariant sets & the irreducibility of symmetric Markov・・・" Probability Theory and Mathematical Statistics. 238-247 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] J.Uchiyama and M.Arai: "The von Neumann and Wigner's Eigenvalue Problem" Abstracts of 1994 Sino-Japanese Joint Workshop on Operator Theory and Differential Equations. 1-2 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Hamada et A.Takeuchi: "Sur un domaine d'existence et un prolongement analytique des solutions de problemes de Goursat" J.Math.pures et appl., a paraitre. (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Kaneko and T.Odagaki: "Self-similartiy in a Class of Quadratic-Quasiperiodic Chains" J.of phys.Soc.of Japan. vol.62. 1147-1152 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] F.Maitani: "Meromorphic differential restricted by real behavior spaces" Mem.Kyoto Inst.Tech.Ser.Sci.and Tech.vol.41. 1-16 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] F.Maitani: "Function Theoretic Movement of a Deforming Surface in a Space" Mem.Kyoto Inst.Tech.Ser.Sci.and Tech.vol.42. 103-113 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] F.Maitani: "On Rigidity of an End Under Conformal Mappings Preserving the infinite Homology Basis" Complex variables. vol.24. 281-287 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Miki: "On the conductor of the Jacobi sum Hecke character" Composition Math. vol.92. 23-41 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] A.Nakaoka: "Sur Comportement asymptotique de solution..." Mem.Kyoto Inst. Tech.Ser.Sci.and Tech.vol.40. 81-91 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Ogawa: "Monte Carlo Simulation of Nonlinear Diffusion Process, 2" Japan J.of Indust. Applied Math.vol.11. 31-45 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Ogawa: "Questions about the numerical solution of SDE" Proceedings of the Workshop on Stochastics and Finances (1995) , Sept. 5-10,1994 at Humboldt Univ. in Berlin. (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Okura: "On the invariant sets and the irreducibility of symmetric Markov..." Probability theory and Mathematical Statistics. 238-247 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] J.Uchiyama and M.Arai: "The von Neumann and Wigner's Eigenvalue Problem" Abstracts of 1994 Sino-Japanese Joint Workshop on Operator theory and Differential Equations. 1-2 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Hamada et A.Takeuchi: "Sur undomaine d′existance et un prolongement analytique des solutions de problemes de Goursat" J.Math.pures et appl.発表予定. (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] H.Miki: "On the conductor of the Jacobi sum Hecke character" Composition Math.92. 23-41 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] S.Ogawa: "Monte Carlo Simulation of Noulinear Diffusion Process,II" Japan J.of Indust.Applied Math.11. 31-45 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] J.Uchiyama and M.Arai: "The von Neumann and Wigner's Eigenvalue Problem" Abstracts of 1994 Sino-Japanese Joint Workshop on Operator Theory and Differential Equations. 1-2 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] H.Okura: "Capacitary inequalities and global properties of symmetric Dirichlet forms" Proceeding of the International Conference on Dirichlet Forms and Stochastic Processes. 発表予定. (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] M.Kaneko and T.Odagaki: "Selfsimilavity in a Class of Quadratic-Quasiperiodic Chains" J.of Phys.Soc.of Japan. 62. 1147-1152 (1993)

    • Related Report
      1994 Annual Research Report
  • [Publications] F,Maitani.: "Canonical functions on open Riemann Surfaces" Complex Variables. 18. 267-281 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] F,Maitani: "Meromorphic differential restricted by real behavior spaces" Mem.Kyoto Inst.Tech.Ser.Sci.and Tech.41. 1-16 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] A,Nakaoka: "Sur comportement asymptotique de solution・・・・・" Mem.Kyoto Inst.Tech.Ser.Sci.and Tech.40. 81-91 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] H,Okura: "On the invariant sets & the irreducibility of symmetric Markov・・・・" Probability Theory and Mathematical Statistics. 238-247 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] 内山 淳: "シュレーディンガー作用素の固有関数の増大度" 数理解析研究所講究録. 779. 16-27 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] S,Ogawa: "Monte Carlo Simulation of Nonlinear Diffusion Processes" Japan J.Indust.Appl.Math.1. 405-416 (1992)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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