Project/Area Number  07304013 
Research Category 
GrantinAid for Scientific Research (A)

Section  総合 
Research Field 
解析学

Research Institution  HOKKAIDO UNIVERSITY 
Principal Investigator 
AGEMI Rentaro Hokkaido University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (10000845)

CoInvestigator(Kenkyūbuntansha) 
NAKAO Mitsuhiro Kyusyu University, Graduate School of Mathematics, Professor., 大学院・数理学研究所, 教授 (10037278)
岩崎 敷久 京都大学, 理学部, 教授 (70027374)
ICHINOSE Takashi Kanazawa University, Faculty of Sciences, Professor., 理学部, 教授 (20024044)
YAJIMA Kenji University of Tokyo, Graduate Scool of Mathematical Sciences, Professor., 大学院・数理科学研究所, 教授 (80011758)
加藤 順二 東北大学, 理学部, 教授 (80004290)
TAKANO Kyoichi Kobe University, Faculty of Sciences, Professor, 理学部, 教授 (10011678)
ISHII Hitoshi Tokyo Metropolitan University, Faculty of Sciences, Professor., 理学部, 教授 (70102887)

Project Fiscal Year 
1995 – 1996

Project Status 
Completed(Fiscal Year 1996)

Budget Amount *help 
¥15,500,000 (Direct Cost : ¥15,500,000)
Fiscal Year 1996 : ¥6,900,000 (Direct Cost : ¥6,900,000)
Fiscal Year 1995 : ¥8,600,000 (Direct Cost : ¥8,600,000)

Keywords  ordinary differential equations / partial differential equations / elliptic differential equations / parabolic differential equations / hyperbolic differential equations / Fourier integral operators / existence of global solutions / blowup of solutions / 常微分方程式 / 偏微分方程式 / 楕円型微分方程式 / 放物型微分方程式 / 双曲型微分方程式 / フーリエ積分作用素 / 大域解の存在 / 解の爆発 / フーリェ積分作用素 
Research Abstract 
Head of this project held the meetings at Tokyo, July 1995 and at Sapporo, July 1996 and decided the schedules of conferences organized by investigators. In the conferences on differential equations held at Tokyo, December 1995 and 1996, there were approximately two hundred researchers from the whole country. The investigators also opened the fifteen local conferences, for example, The 20^<th> and 21^<st> Sapporo symposium on partial differential equations (Hokkaido Univ.), The analytic partial differential equations and related topics in ordinary differential equations (Nagoya Univ.), Symposium on nonlinear partial differential equations (Tokyo Metropolitan Univ.), etc. In the above conferences we obtained many significant research results in the following fields (see the report on this project in detail), (1) The qualitive theory of ordinary differential equations, (2) The local theory of partial differential equations (3) The integral operators and elliptic equations (4) The geometric theory of parabolic equations (5) The global theory of evolution equations (6) The nonlinear equations in theoritical physics
