Research Projects -
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Grant number：24K06765 2024.04 - 2028.03
日本学術振興会 Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
三上 敏夫
Grant amount：\4550000 （ Direct Cost: \3500000 、 Indirect Cost：\1050000 ）
本研究は、確率最適輸送問題の有限性、連続性、漸近挙動といった基本性質は、コスト関数の無限遠方での増大度によってどう特徴づけられるかという研究代表者の研究課題について、研究代表者の既存の研究を完成させる。また、研究代表者によって定義され、ある種の確率最適輸送問題によって近似解を与えられたKnothe-Rosenblatt 過程が一般に存在するか存在すれば一意かを明らかにするものである。
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確率最適輸送問題の新展開 International coauthorship
Grant number：19K03548 2019.04 - 2024.03
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(C)
Authorship：Principal investigator Grant type：Competitive
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New developments of the theory of viscosity solutions and its applications
Grant number：16H03948 2016.04 - 2020.03
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(B)
石井 仁司、儀我 美一, 三上 敏夫, 小池 茂昭, 三竹 大寿, 小林 和夫
Authorship：Coinvestigator(s) Grant type：Competitive
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A study of generalization of stochastic optimal transportation problems and mean field games
Grant number：26400136 2014.04 - 2019.03
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(C)
Authorship：Principal investigator Grant type：Competitive
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Geometry of solutions of partial differential equations and the inverse problems accompanied by it
Grant number：26287020 2014.04 - 2018.03
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(B)
SAKAGUCHI SHIGERU, ISHIGE Kazuhiro, MIKAMI Toshio, MISAWA Masashi, CAVALLINA Lorenzo
Authorship：Coinvestigator(s) Grant type：Competitive
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Fundamental theory for viscosity solutions of fully nonlinear equations and its applications
Grant number：23340028 2011.04 - 2016.03
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(B)
小池 茂昭、小川 卓克, 石井 克幸, 石井 仁司, 長井 英生, 三上 敏夫, 石毛 和弘, 岡部 真也
Authorship：Coinvestigator(s) Grant type：Competitive
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Deepening of the theory of viscosity solutions and its applications
Grant number：23244015 2011.04 - 2016.03
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(A)
ISHII Hitoshi, OTANI Mitsuharu, NAGAI Hideo, GIGA Yoshikazu, KOIKE Shigeaki, MIKAMI Toshio, MITAKE Hiroyoshi, YAMADA Naoki, ISHII Katsuyuki, ICHIHARA Naoyuki, FUJITA Yasuhiro
Authorship：Coinvestigator(s) Grant type：Competitive
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stochastic optimal transportation problem and its application
Grant number：23540205 2011 - 2013
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(C)
MIKAMI toshio, ICHIHARA Naoyuki, KAISE Hidehiro, HIGUCHI Isao
Authorship：Principal investigator Grant type：Competitive
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Diffusion and Geometry of Domain
Grant number：20340031 2008 - 2012
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(B)
SAKAGUCHI Shigeru, MISAWA Masashi, MIKAMI Toshio, SHIBATA Tetsutaro, KANON Yukio, KAWAKAMI Tatsuki, ISHIGE Kazuhiro, OGAWA Takayoshi
Authorship：Coinvestigator(s) Grant type：Competitive
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Viscosity solution theory for fully nonlinear equations and its applications
Grant number：20340026 2008 - 2010
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(B)
KOIKE Shigeaki, ISHII Hitoshi, MIKAMI Toshio, ISHII Katsuyuki, NAGAI Hideo, MORIMOTO Hiroaki
Authorship：Coinvestigator(s) Grant type：Competitive
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Stochastic least principle and its applications
Grant number：19540157 2007 - 2010
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(C)
MIKAMI Toshio, TAKEDA Masayoshi, KOIKE Shigeaki, KAISE Hidehiro
Authorship：Principal investigator Grant type：Competitive
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RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS
Grant number：18204009 2006 - 2009
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(A)
ISHII Hitoshi, KOBAYASI Kazuo, OTANI Mitsuharu, GIGA Yoshikazu, NAGI Hideo, KOIKE Shigeaki, MIKAMI Toshio, YAMADA Naoki, GOTO Syun'ichi, ISHII Katsuyuki, FUJITA Yasuhiro, OHNUMA Masaki
Authorship：Coinvestigator(s) Grant type：Competitive
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On the study of the theory of viscosity solutions and its new developments
Grant number：16340032 2004 - 2007
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(B)
KOIKE Shigeaki, MORIMOTO Hiroaki, ISHII Hitoshi, NAGAI Hideo, MIKAMI Toshio, ISHII Katsuynki
Authorship：Coinvestigator(s) Grant type：Competitive
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物質の磨耗現象の数理
Grant number：16654031 2004 - 2005
Grant-in-Aid for Scientific Research Grant-in-Aid for Exploratory Research
三上 敏夫、利根川 吉廣, 行木 孝夫
Authorship：Principal investigator Grant type：Competitive
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偏微分方程式の解の空間臨界点および等位面の挙動と解の形状
Grant number：15340047 2003.04 - 2006.03
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(B)
坂口 茂、三上 敏夫, 橋本 貴宏
Authorship：Coinvestigator(s) Grant type：Competitive
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Research on the theory of viscosity solutions and its applications
Grant number：15340051 2003 - 2005
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(B)
ISHII Hitoshi, GIGA Yoshikazu, KOIKE Shigeaki, NAGAI Hideo, ISHII Katusyuki, MIKAMI Toshio
Authorship：Coinvestigator(s) Grant type：Competitive
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連続パラメタを持つ確率過程に対する質量輸送問題
Grant number：13640096 2001.04 - 2002.03
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(C)
三上敏夫、行木 孝夫, 松本 健司, 井上 昭彦
Authorship：Principal investigator Grant type：Competitive
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大偏差定理と確率量子化
Grant number：03740105 1991
Grant-in-Aid for Scientific Research Grant-in-Aid for Encouragement of Young Scientists (A)
Authorship：Principal investigator Grant type：Competitive