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1998 Fiscal Year Final Research Report Summary

SEEKING FURTHER POSSIBILITIES OF MATHEMATICS

Research Project

Project/Area Number 08304013
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field 解析学
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

YOSHIKAWA Atsushi  KYUSHU UNIVERSITY,Graduate School of Mathematics, Professor, 大学院・数理学研究科, 教授 (80001866)

Co-Investigator(Kenkyū-buntansha) YAMAMOTO Masahiro  UNIVERSITY OF TOKYO,Graduate School of Mathematical Sciences, Associate Professo, 大学院・数理科学研究科, 助教授 (50182647)
TAKAGI Izumi  TOHOKU UNIVERSITY,Graduate School of Science, Professor, 大学院・理学研究科, 教授 (40154744)
OKA Mutsuo  TOKYO METROPOLITAN UNIVERSITY,Faculty of Science, Professor, 理学部, 教授 (40011697)
KOJIMA Sadayoshi  TOKYO INSTITUTE OF TECHNOLOGY,Graduate School of Information Science and Enginee, 大学院・情報理工学研究科, 教授 (90117705)
MIWA Tetsuji  KYOTO UNIVERSITY,Research Institute of Mathematical Sciences, Professor, 数理解析研究所, 教授 (10027386)
Project Period (FY) 1996 – 1998
KeywordsReal Analytic Methods / Nonlinear evolution equations / Types and Proof Theory / Cone Manifolds / Hyperbolic Geometries / Hyperplanes Arrangements / Concentration Phenomena / Inverse Problems
Research Abstract

Through the present research project, we have obtained fruitful results in the following fields :
(1) Applications of methods of real analysis to non-linear evolution equation
(2) Theories of types and proofs
(3) Cone manifolds and hyperbolic geometry
(4) Mathematical arrangements of hyperplanes configurations
(5) Concentration phenomena in elliptic and parabolic partial differential equations
(6) Mathematical theory of inverse problems and their numerical analysis.
Detailed reports (or lecture notes) have been arranged to be published by the Mathematical Society of Japan. That our project did contribute to so many fields conforms to our original objective, firstly, to encourage non-conventional mathematical challenges, promoting small group research sessions (Regional Workshops or RW's), and secondly, thus to assure relevant activities.

  • Research Products

    (10 results)

All Other

All Publications (10 results)

  • [Publications] 吉川 敦: "Modulation equations for planar phases and asymptolic weak solutions" Kyushu Journal Mathematics. 52・1. 99-148 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 三輪哲二: "Mixing of ground states in vertex models" J.Physics. A31. L515-L525 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 岡 睦雄: "Geometry of Cuspidal sextics and their dual curves" Proc.Singalarity.Conf.Sapporo. (印刷中). (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 高木 泉: "On the location and profile of spike-layer solutions" Duke Math J. 94. 597-618 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 山本昌宏: "Lipschitz stability in inverse parabolic problems" Inverse Problems. 14. 1229-1245 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] YOSHIKAWA,A: "Modulation equations for planar phases and asymptotic weak solutions" Kyushu Journal of Mathematics. 52. 99-148 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] MIWA,T.: "Mixing of ground states in vertex models" Journal of Physics. A31. L515-L525 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] OKA,M.: "Geometry of cuspidal sextics and their dual curves" Proceeding of Singularity Conference Sapporo. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] TAKAGI,M.: "On the location and profile of spike-layer solutions to a singularly perturbed parabolic semilinear Dirichlet problem : intermediate solutions" Duke Mathematical Journal. 94. 597-618 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] YAMAMOTO,M.: "Lipschitz stability in inverse parabolic problems by the Carleman estimate" Inverse Problems. 14. 1229-1245 (1998)

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

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Published: 1999-12-08  

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