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楕円型・放物型偏微分方程式の多面的研究

椭圆和抛物型偏微分方程的多方面研究

基本信息

批准号：
05640205
负责人：
村田實
金额：
$ 1.28万
依托单位：
Kumamoto University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1993
资助国家：
日本
起止时间：
1993 至无数据
项目状态：
已结题

项目摘要

楕円型・放物型偏微分方程式を多面的に研究し、多くの研究成果が上がった。既に出版された研究成果だけを見ても以下の通りである。研究代表者(村田)は放物型偏微分方程式について研究し、一様制限付き放物型Hranack不等式、分離原理、放物型方程式に対する超縮小性について論文を発表した。またリーマン多様体上の熱方程式の正の解に対する、一意性、非一意性について論じた(アメリカ数学会より出版予定).高田は応用の立場(統計数学)から、予測極限についての論文をいくつか発表した。神島は幾何学への応用を用い、一定曲率を持つローレンツ多様体の完備性について論文を表した。原岡は特殊関数論との関連から、一般化された超幾何システムの合流性について論文を書いた。相川は楕円型方程式と密接に結びついたポテンシャル論において、容量の擬加法性と極小尖細性について論文を発表した。さらに正の優調和関数、劣調和関数の可積分性について研究した(アメリカ数学会より出版)。櫃田は楕円型・放物型偏微分方程式と関連の深い確率論においてガスウ過程について書籍を出版した。ロシア科学アカデミー、ステクロフ研究所にガウスマルチンゲールに関する論文を発表した。そのほか、研究代表者研究協力者による、出版済み及び、発表予定の論文も10編以上あり、楕円型・放物型偏微分方程式を多面的に研究する事ができた。

The partial differential equation of the release type, the multi-faceted "research", the multi-faceted research results. Both published and published research results can be found in the following general information. The representative of the research (Murata) is the partial differential equation of release type, the partial differential equation of release type, the Hranack inequality, the separation principle, the equation of release type, the super small property of the equation of release type, and the table of the paper. This is the correct solution of the equation, which is published by the Mathematical Society of Mathematics. Takata uses statistical mathematics to make sure that there is no limit to the number of papers and tables. God knows how to learn how to use it, with a certain curvature, multi-body, completeness, and text table. The original special mathematical theory, general theory and general theory. The equations of the Sagawa model are closely linked to each other in terms of the size of the equation, the addition of the capacity, the size of the equation, the size of the equation and the table of the text. You can actively divide the number, quality and number of people into positive and negative figures. (published by the Mathematical Society). The partial differential equation for the release of objects in the field is based on the accuracy and accuracy of the partial differential equation. The science department, the research institute, the science department, the institute, the institute. The research representative, the research collaborator, the author, the researcher, the researcher, the research representative, the research collaborator, the research representative, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research collaborator, the research representative, the research representative, the research collaborator, the