Project/Area Number  02302005 
Research Category 
GrantinAid for Cooperative Research (A).

Research Field 
解析学

Research Institution  Osaka University 
Principal Investigator 
IKAWA Mitsuru Osaka University Faculty of Sciences Professor, 理学部, 教授 (80028191)

CoInvestigator(Kenkyūbuntansha) 
ICHINOSE Takashi Kanazawa University Faculty of Sciences Professor, 理学部, 教授 (20024044)
NAKAO Mitsuhiro Kyushu University College of General Education Professor, 教養部, 教授 (10037278)
KURODA Sigetoshi Gakushuin University Faculty of Sciences Professor, 理学部, 教授 (20011463)
FUJIWARA Daisuke Tokyo Institute of Technology Faculty of Sciences Professor, 理学部, 教授 (10011561)
AGEMI Rentaro Hokkaido University Faculty of Sciences Professor, 理学部, 教授 (10000845)

Project Fiscal Year 
1990 – 1991

Project Status 
Completed(Fiscal Year 1991)

Budget Amount *help 
¥2,200,000 (Direct Cost : ¥2,200,000)
Fiscal Year 1991 : ¥2,200,000 (Direct Cost : ¥2,200,000)

Keywords  Elastic Equations / Scattering Theory / Spectrum / Hyperbolic Equations / Hypoellipticity / 弾性方程式 / 散乱理論 / スペクトル / 双曲型方程式 / 準楕円性 / 双曲系方程式 / 多体問題 / 波動作用素 / エネルギの減衰 / 超局所解析 / 特異性の伝播 / 回折 
Research Abstract 
The subjects of this research were well achieved by meetings and discussions organized by each investigator and by a big meeting organized cooperatively by the whole investigators. The subjects of this project are mainly concerned with theory of partial differential equations, but, as a matter of course, the theory of ordinary differential equations has deep relationships with studies of Partial differential equations. Therefore, we have organized the meetings in cooperations with researchers of ordinary differential equations. Thus, naturally the results obtained by this project extend over the whole theory of differential equations. In the year of 1990, we organized mainly several middle size meetings, whose subjects were concentrated sharply in topics of central subjects of our project. Namely, we studied around Problems of hyperbolic equations, spectral and scattering theory, and elastic equation and hyperbolic problems appeared in engineering. In these meetings, very ardor discussions were exchanged and we have recognized the deep relations between different subjects. These meeting enable us to consider the various topics in partial differential equations in total. This permits us to treat the theory of partial differential equations as a nonseparable subject, that is, in a global perspective of differential equations. In 1991 we organized a big meeting which covers all the fields of differential equations. By these researches we have recognized the variety of the theory of differential equations and generated many germs which will certainly give us many beautiful fruits of mathematics.
