Methods of functional analysis and numerical analysis for mathematical sciences
| Project/Area Number |
60460004
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| Research Category |
Grant-in-Aid for General Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
解析学
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| Research Institution | University of Tokyo |
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Principal Investigator |
ITO Seizo Dept. of Math., Fac. of Sci., Univ. of Tokyo, Professor, 理学部, 教授 (40011423)
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| Co-Investigator(Kenkyū-buntansha) |
SUZUKI Takasi Dept. of Math., Fac. of Sci., Univ. of Tokyo, Lecturer, 理学部, 講師 (40114516)
KUSUOKA Shigeo Dept. of Math., Fac. of Sci., Univ. of Tokyo, Lecturer, 理学部, 助教授 (00114463)
OSHIMA Tosio Dept. of Math., Fac. of Sci., Univ. of Tokyo, Associate Professor, 理学部, 助教授 (50011721)
KOMATSU Hikosaburo Dept. of Math., Fac. of Sci., Univ. of Tokyo, Professor, 理学部, 教授 (40011473)
FUJITA Hiroshi Dept. of Math., Fac. of Sci., Univ. of Tokyo, Professor, 理学部, 教授 (80011427)
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| Project Period (FY) |
1985 – 1986
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| Project Status |
Completed (Fiscal Year 1986)
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| Budget Amount *help |
¥7,300,000 (Direct Cost: ¥7,300,000)
Fiscal Year 1986: ¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 1985: ¥3,800,000 (Direct Cost: ¥3,800,000)
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| Keywords | functional analysis / numerical analysis / nonlinear problems / free boundary / bifurcation / Mariavan calculus / マリヤバン解析法 / 逆問題 |
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| Research Abstract |
First of all, by this project important applications of methods of functional analysis to nonlinear problems have been studied and promoted. Among various results thus obtained, the following deserves a particular mention; Analytical and numerical analysis of a free boundary problem arising from a mathematical study of fluid motion arround planets. Nonlinear eigenvalue problems and related bifurcation problems for <DELTA> u + <lambda> <e^u> = 0. Blowing-up problems of solutions of quasi-linear parabolic equations. Actually, these results are important by their own right but are extremely interesting because of profound combination of functional analysis with numerical analysis and function theoretic/differential geometric methods. Furthermore, some remarkable results have been obtained in connection with partial differential equations by means of a very stochastic method, i.e. the Mariavan calculus. Finally, a considerable progress in the study of spectral inverse problems has been made by this project.
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Report
(1 results)
Research Products
(11 results)
