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CO-OPERATIVE RESEARCH OF DIFFERENTIAL EQUATIONS

Research Project

Project/Area Number 05302009
Research Category

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

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

IWASAKI Nobuhisa  KYOTO UNIV.FACULTY OF SCIENCE.PROFESSOR, 理学部, 教授 (70027374)

Co-Investigator(Kenkyū-buntansha) ICHINOSE Takashi  KANAGAWA UNIV.FACULTY OF SCIENCE.PROFESSOR, 理学部, 教授 (20024044)
KAJITANI Kunihiko  UNIV.OF TSUKUBA INST.OF MATHEMATICS.PROFESSOR, 数学系, 教授 (00026262)
MOCHIZUKI Kiyoshi  TOKYO METROPOLITAN UNIV.FACULTY OF SCIENCE.PROFESSOR, 理学部, 教授 (80026773)
KUSANO Hisasi  FUKUOKA UNIV.PROFESSOR, 教授 (70033868)
TANABE Hiroki  OSAKA UNIV.FACULTY OF SCIENCE.PROFESSOR, 理学部, 教授 (70028083)
Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥15,600,000 (Direct Cost: ¥15,600,000)
Fiscal Year 1994: ¥7,700,000 (Direct Cost: ¥7,700,000)
Fiscal Year 1993: ¥7,900,000 (Direct Cost: ¥7,900,000)
KeywordsDifferential equation / Inicial value probrem / Evolution equation / Partial differential equation / Functional equation / Nonlinear equation / Eigenvalue problem / Ordinary differential equation / 漸近理論 / フーリエ積分作用素
Research Abstract

The main perpose of this progrum was the aid of exchanges between researchers interested in differential equations. Planning and excuting many research seminars and symposiums were done for this perpose. Espencially, once each year, a big symposium titled "CO-OPERATIVE RESEARCH OF DIFFERENTIAL EQUATIONS" was held for researchers of any section of differential equations. Lecturers were elected from contributors to recent developments and were requested to give introductive talks on their new results and problems having to be solved near future. A half of lectures were requested to young researchers having completed attractive new researchs. Each time, participants over 200 persons had spoken higyly of this progrum as meeting their expectation. 17 seminars and symposiums for each regional block, restricted theme and only young researchers (from planning to excuting) were also held under advices by the investigators. In these two yaers, many research cooperators sent new development of their researchs to the head investigators. There is no space to explain them. To show parts of research results, some main results from the above big symposium were selected as follows ; Results related to mathematical phisics by Y.Isozaki, S.Zinbo and S.Tajima, classical Fuchsian theory by K.Mimachi, application of Harnac's inquality by K.Horihata, new development of transform theory for ordinary differential equations by K.Okamoto, partial differential equations related to supper conduction by J.Lishang, global probrem of system of Lotoca-Voltera equations by Y.Takeuchi, and also equations related biology, bifercation theory in mecanical system, global solutions of nonlear hyperbolic equations, asymptotic behavior of Voltmann equation, spectrum theory of Schrodinger equation, variational propbrem of elastic body, theory of Fourier integral operators, properties of many types of functional equations, etc.

Report

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

    (26 results)

All Other

All Publications (26 results)

  • [Publications] Agemi,Rentaro(with K.Kubota,H.Takamura): "On certain in tegral equations related to nonlinew wave equations" Hokkaido Math.J.23. 241-276 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Doi,shin-Ichi: "On The Cauehy problem for Schrolvign type equations and rogularity of solntions" J.Math.,Kyoto Univ.34. 319-328 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Ishii,Hitoshi(with K.Kobayashi): "On the unigueneso and existen a of solutions of fully nonlineen rarabolic P.D.E under Clsgood type condition" Diff.and Integral Eqs.7. 909-920 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Iwasaki,Nobuhisa: "Bicharacteristic curues and well nosedness for hynubolic equations with non-iwvolutiive multiple clara ctwislics" J.Math.,Kyoto Univ.34. 41-46 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Naito,Manabu(with.Y.Naito): "Solutions with prescrited numbers of zeros for nonlinear seeond order differential equations" Funk wal Ekvac.37. 505-520 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Isozaki,Hiroshi: "A generalization of the radiation conditions of Sommergeld for N-body Schroduign Operators" Duke Math.J.74. 557-584 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Ichinose,Takashi: "Path Integral入門、江沢洋編「数理物理への誘い」" 遊星社, 88-110 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Agemi, R.(with K.Kubota, H.Takamura): "On certain integral equations related to nonlinear wave equations" Hokkaido Math.J.23. 241-276 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Doi, S.: "On the Cauchy problem for Schrodinger type equations and regularity of solutions" J.Math., Kyoto Univ.34. 319-328 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Ishii, H.(with K.Kobayashi): "On the uniqueness and exist-of fully nonlinear parabolic P.D.E.under Osgood type condition" Diff.and Integral equ.7. 909-920 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Iwasaki, N.: "Bicharacteristic curves and well posedness for hyperbolic equations with non-involutive multiple characteristics" J.Math>, Kyoto Univ.34. 41-46 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Naito, M.(with Y.Naito): "Solutions with prescribed numbers of zeros for nonlinear second order differential equations" Funkcial Ekvac.37. 505-520 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Isozaki, H.: "A generalization of the radiation conditions of Sommerfeld for N-body Schrodinger operators" Duke Math.J. 74. 557-584 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Agemi,Rentaro(with K.Kubota,H.Tamura): "On artain integral equations rdated to nonlincar wave equations." Hokkaido Math,J.,. 23. 241-276 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Doi,Shin-ichi: "On the Cauchy problem for Schrodinger type equations and the regulanity of solutions" J.Math.,Kyoto Univ.34. 319-328 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Ishii,Hitoshi(with K,Kobayashi: "On The unigueness and existence of Solutions of fully nonlinear parabchic PDEs under the Osgood type condition" Diff:and Integral Egs.,. 7. 909-920 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Iwasaki,Nobuhisa: "Bicharacferistic curuts and wullposednes for hyperbic eguations with,own-vivo Cutiivt mnltiple characferistics" J.Math,Kyoto Univ.,. 34. 41-46 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Naito Manabu,(with Y,Naito): "Solutions with prescribed numbers of 2eros for nonlinear second order difterential aquations" Funkcial Elevac,. 37. 505-520 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Isozaki,Hiroshi: "Ageneralization of the radiation conditions of Sommafeld for N-body Sehriidinger Operators" Duke Math.J,. 74. 557-584 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Ichinose;Takashi: "Path In tegral 入門,江沢洋編「数理物理への誘い」" 遊星社, 88-110 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] N.IWASAKI: "Bicharacteristic curves and well pogedness for hyperbolic equations with non-involutive multiple characteristics" J.Math.Kyoto Univ.34-1. 41-46 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.KUBOTA-K.MOCHIZUKI: "On small data scattering for 2-dimensional semilinear wave equations" Hokkaido Math.Jour.22. 79-97 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.YAJIMA: "The W^<R,P>-continuity of wave operators for Schrodinger operators" Proc.Japan Acad.69(A)4. 94-98 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.ISOZAKI: "Asymptotic properties of generalized eigenfunctions for three body Schrodinger operators" Comm.Math.Phys.153. 1-21 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] S.Wakabayashi-M.Suzuki: "Mi-cro-hynoellipticity for a class of pseudo-differential operators with double characteristics" Funkcialaj Ekvacioj.36. 519-556 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Uchida: "Continuation of analytic solutions of linear-differential equations up to convex cenical singularities" Bull.Soc.math.France. 121. 133-152 (1993)

    • Related Report
      1993 Annual Research Report

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

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