Project/Area Number  06302010 
Research Category 
GrantinAid for Cooperative Research (A)

Allocation Type  Singleyear Grants 
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) 
IWASAKI Nobuhisa Kyoto University, Graduate School of Sciences, Professor, 理学研究科, 教授 (70027374)
AGEMI Rentaro Hokkaido University, Faculty of Sciences, Professor, 理学部, 教授 (10000845)
MOCHIZUKI Kiyoshi Tokyo Metro.Univ., Faculty of Sciences, Professor, 理学部, 教授 (80026773)
NAKAO Mitsuhiro Kyushyu University, Graduate School of Math.Sci., Professor, 数理学研究科, 教授 (10037278)
ICHINOSE Takashi Kanazawa University, Faculty of Sciences, Professor, 理学部, 教授 (20024044)
西谷 達雄 大阪大学, 理学部, 教授 (80127117)

Project Period (FY) 
1994 – 1995

Project Status 
Completed(Fiscal Year 1995)

Budget Amount *help 
¥5,100,000 (Direct Cost : ¥5,100,000)
Fiscal Year 1995 : ¥2,500,000 (Direct Cost : ¥2,500,000)
Fiscal Year 1994 : ¥2,600,000 (Direct Cost : ¥2,600,000)

Keywords  partial differential equations / scattering theory / wave of earthquake / inverse problems / elastic equation / well posedness / nonlinear phenomenon / 散乱 / シュレディンガー作用素 / 波動方程式 / 散乱核 / 極 
Research Abstract 
Using this grandinaid, we organized seberal conferences of small size and of middle size. We studied the theory of partial differential equation, theoretically and concret problems in our daily life. The investigators shared the fields of problems and all the participants cooperated in integrating the researchs by organized by investigators. As we wrote in the above, we aimed to develope study of problems of partial differential equation in our daily life, and forcused the study to the inverse problems of partial differential equations, and developed the theoretial approach to these problems. Concerning the inverse problems, we experienced Kobe great earthquake during the period of our research. In fact, one of our main problem of research is a theoretical study of the inverse problem for the elastic wave, that is, the problem to determine the state of earth from the observation of the wave of earthquake. Even though Japan is a country of many earthquake, there are very few researcher in Mathematics. We have to develope the study of this inverse problems. Needless to say, we have to cooperate earth scientists, but we have to multiply the number of mathematicians interested in various problems related to earthquake.
