| Project/Area Number |
23340038
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Osaka City University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
KATO Shin 大阪市立大学, 大学院理学研究科, 准教授 (10243354)
NISHIO Masaharu 大阪市立大学, 大学院理学研究科, 准教授 (90228156)
ISHIWATA Michinori 大阪大学, 大学院基礎工学研究科, 准教授 (30350458)
SATO Yohei 埼玉大学, 理工学研究科, 准教授 (00465387)
WATANABE Tatsuya 京都産業大学, 理学研究科, 准教授 (60549749)
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| Co-Investigator(Renkei-kenkyūsha) |
OHNITA Yoshihiro 大阪市立大学, 大学院理学研究科, 教授 (90183764)
SUZUKI Takashi 大阪大学, 大学院基礎工学研究科, 教授 (40114516)
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| Project Period (FY) |
2011-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥14,950,000 (Direct Cost: ¥11,500,000、Indirect Cost: ¥3,450,000)
Fiscal Year 2014: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2013: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2012: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2011: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
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| Keywords | 臨界型変分問題 / 爆発解析 / 多重バブル解 / 質量集中現象 / コンパクト性の損失 / 質量量子化 / 非線型ノイマン境界条件 / 非コンパクト解 / グリーン関数 |
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| Outline of Final Research Achievements |
In this research program, we study the qualitative and quantitative properties of multi-bubble solutions to the variational problems of critical type. The main 4 subjects of research are (1) Structure of spaces of multi-bubble solutions and its relation to the domain geometry (2) Study of the spectral properties of multi-bubble solutions (3) Qualitative properties of multi-bubble solutions induced by the concentration and blow-up (4) Characterization of the set of blow-up points of multi-bubble solutions. Total 35 research papers are published in the international journals and 17 research reports at the Mathematical Society of Japan are presented.
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