Solutions of Differential Equations and Applications
Solutions of Differential Equations and Applications
批准号:
06302012
负责人:
MOCHIZUKI Kiyoshi
金额:
$7.17万
依托单位国家:
日本
项目类别:
Grant-in-Aid for Co-operative Research (A)
财政年份:
1994
资助国家:
日本
项目状态:
已结题
起止时间:
1994 至 1995
中文摘要
微分方程的研究向各个方向延伸。其中,我们作为本项目的研究者,主要关注的是与物理学、工程学和其他应用科学相关的问题。要发展这些领域的数学研究,需要与许多相关研究者共同研究。我们在以下三个原则下策划和组织了几次研讨会:1.与应用数学、应用物理、数值分析和信息科学的研究者进行合作.建议青年数学家,特别是研究生参加学术研讨会并作报告.为了给来日本参加研讨会的外国研究人员打电话,我们在这两年里实际组织了20多次研讨会。在每一个项目中,我们都可以邀请上述相关领域的研究人员。此外,在300多场学术报告会中,有30多场由研究生主讲,30多场由国外研究人员主讲,这些计划取得了丰硕的成果,项目得以顺利实施。详细情况见本项目的“研究成果报告”。
英文摘要
The study of differential equations extends in various directions. Among them we, the investigators of this project, have mainly concerned with the problems related Physics, Engineering and other applied sciences. To develop mathematical researches in these fields, we need joint studies with many related investigators. We made plan and managed several symposiums under the following three principles ;1. To proceed cooperations with investigotors of Applied mathematics, Applied Physics, Numerical Analysis and Information Science.2. To recomend young mathematician, especially graduate students, to participate in the symposium and to give lectires.3. To cell to foreign investigators who are visiting Japan to participate in the symposium.We actually or ganized morethan 20 symposiums in these two years. In each of them we could invite investigators of the related fields cited above. Moreover, among 300 lectures anounced in these symposiums, morethan 30 lectures are given by graduate students and also 30 lectures are given by foreign investigators.These plan brought us fruitfull results, and this project is executed successfully. Details are sumonarized in the 「Report of Research Results」 of this project.
期刊论文(22)
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J.Kato: "Stability property and phase space" Rockey Mountain J.Math. 25. 315-338 (1995)
J.Kato:“稳定性性质和相空间”Rockey Mountain J.Math。
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K.Kurata: "Continuity and Harnack's inequality for solutions of elliptic partial differential equations of second order" Indiana University Mathematical Journal. 43. 411-440 (1994)
K.Kurata:“二阶椭圆偏微分方程解的连续性和 Harnack 不等式”印第安纳大学数学杂志。
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K. Mochizuki, R.Suzuki: "Critical exponent and critical blow-up for quasilinear parabolic equations" Isreal Journal Mathematics. (In press).
K. Mochizuki、R.Suzuki:“拟线性抛物线方程的临界指数和临界爆炸”Isreal Journal Mathematics。
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K. Kajitani, A. Baba: "The Cauchy problem for Schrodinger type equations" Bull. Sci. Math.119. 459-473 (1995)
K. Kajitani、A. Baba:“薛定谔型方程的柯西问题”Bull。
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Kiyoshi Mochizuki and Ryuichi Suzuki: "Critical exponent and critical klow-up for quauilinear parabolic equations" Israel Joarnal Mathematies. (To appear).
Kiyoshi Mochizuki 和 Ryuichi Suzuki:“拟线性抛物型方程的临界指数和临界 klow-up” Israel Joarnal Mathematics。
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共 22 条
Analysis of wave propagation phenomena in the magnetic fields and inverse scattering problems
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批准号:22540204
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$1.91万
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财政年份:2010
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负责人:MOCHIZUKI Kiyoshi
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依托单位:
Immunological analysis and new immunotherapy of chronic hepatitis C
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批准号:20249043
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项目类别:Grant-in-Aid for Scientific Research (A)
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资助金额:$19.88万
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财政年份:2008
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负责人:MOCHIZUKI Kiyoshi
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依托单位:
Scattering and Inverse Scattering for Linear and Nonlinear Wave Propagations
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批准号:16540204
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.3万
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财政年份:2004
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负责人:MOCHIZUKI Kiyoshi
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依托单位:
Analysis of linear and nonlinear wave phenomena and the inverse problem
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批准号:13640219
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.05万
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财政年份:2001
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负责人:MOCHIZUKI Kiyoshi
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依托单位:
Analysis of Nonlinear Waves and Nonlinear Diffusions
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批准号:09440066
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项目类别:Grant-in-Aid for Scientific Research (B)
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资助金额:$5.12万
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财政年份:1997
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负责人:MOCHIZUKI Kiyoshi
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依托单位:
国内基金
海外基金
普林斯顿应用数学指南(The Princeton Companion to Applied Mathematics )的翻译与出版
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批准号:12226506
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项目类别:数学天元基金项目
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资助金额:10.0万元
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批准年份:2022
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负责人:程晓亮
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依托单位: