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1995 Fiscal Year Final Research Report Summary

Solutions of Differential Equations and Applications

Research Project

Project/Area Number 06302012
Research Category

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

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionTokyo Metropolitan University

Principal Investigator

MOCHIZUKI Kiyoshi  Tokyo Metropolitan Univ., 理学部, 教授 (80026773)

Co-Investigator(Kenkyū-buntansha) ICHINOSE Takashi  Kanazawa University, 理学部, 教授 (20024044)
UKAI Seiji  Tokyo Inst.of Technology, 情報理工学研究科, 教授 (30047170)
KAJITANI Kunihiko  Univ.of Tsukuba, 数学系, 教授 (00026262)
KATO Junji  Tohoku Univ., 理学研究科, 教授 (80004290)
KURATA Kazuhiro  Tokyo Metropolitan Univ., 理学部, 助教授 (10186489)
Project Period (FY) 1994 – 1995
Keywordsdifferential equations / applied mathematics / numerical analysis / plasma physics / fluid mechanics / quantum mechanics / 量子論
Research Abstract

The study of differential equations extends in various directions. Among them we, the investigators of this project, have mainly concerned with the problems related Physics, Engineering and other applied sciences. To develop mathematical researches in these fields, we need joint studies with many related investigators. We made plan and managed several symposiums under the following three principles ;
1. To proceed cooperations with investigotors of Applied mathematics, Applied Physics, Numerical Analysis and Information Science.
2. To recomend young mathematician, especially graduate students, to participate in the symposium and to give lectires.
3. To cell to foreign investigators who are visiting Japan to participate in the symposium.
We actually or ganized morethan 20 symposiums in these two years. In each of them we could invite investigators of the related fields cited above. Moreover, among 300 lectures anounced in these symposiums, morethan 30 lectures are given by graduate students and also 30 lectures are given by foreign investigators.
These plan brought us fruitfull results, and this project is executed successfully. Details are sumonarized in the 「Report of Research Results」 of this project.

  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] K. Mochizuki, R.Suzuki: "Critical exponent and critical blow-up for quasilinear parabolic equations" Isreal Journal Mathematics. (In press).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K. Kurata: "Local boundedness and continutity for weak solutions of -(v-ib)^2u+Vu=0" Mathematishe Zaitschrift. (To ppprer).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J. Kato: "Stability property and phase space" Rockey Mountain Journal Mathematics. 25. 315-338 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K. Kajitani, A. Baba: "The Cauchy problem for Schrodinger type equations" Bull. Sci. Math.119. 459-473 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S. Ukai, T. Makino: "Local smooth solutions of the relativistic Euler equations" Journal Math. Kyoto University. 35. 105-111 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T. Ichinose: "Some results on the relativistic Hamiltonian: Selfadjointness and imaginary time path integrals" Diff. Equations Math Phys. International Press. 116-130 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Asano: "Examples of statinary Euler flows" Acta Applicadae Mathematics. 37. 13-20 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Kametaka: "On periodic binomial coefficients(in press)" Proc. 2-nd Russia-Japan seminar.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Mochizuki, R.Suzuki: "Critical bxponent and critical blow-up for quasilinear parablic equations" Israel J.Math. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Kurata: "Local bounded ness and continuity for weak solutions of -(V-ib)^2u+Vu=0" Math.Z.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Kato: "Stability property and phase space" Rockey Mountain J.Math. 25. 315-338 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Kajitani, A.Baba: "The Cauchy problem for Schrodinger tyhpe equations" Bul.Sci.Math. 119. 459-473 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Ukai, T.Makino: "Local smooth solutions of the relativistic Euler equations" J.Math.Kyoto U.35. 105-111 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Ichinose: "Someremarks on the relatiuistic Hamiltonian : Selfadjointness and imaginarytime path integrals" Diff.Eqo.Math, Phys.International press. 116-130 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Asano: "Examples of stationary Euler flows" Acta Applicadae Math.37. 13-20 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Kametaka: "On periodic binomial coefficients" Proc.2-nd Russia-Japan seminor. (in press).

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

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Published: 1997-03-04  

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