The research of caloric morphism

热量态射的研究

• 批准号: 15540153
• 负责人: SHIMOMURA Katsunori
• 金额: $ 1.79万
• 依托单位: IBARAKI UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2003
• 资助国家: 日本
• 起止时间: 2003 至 2004
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15540153/
• 关键词: caloric morphism; Appell transformation; heat equation; 熱方程式

On caloric morphisms between manifolds, we obtained the following results :1.The determination of the caloric morphism which translates the origin on punctured euclidean space of radial riemannian metric in the case that the dimension is greater than 2.2.The determination of the caloric morphism on punctured euclidean space of radial semi-riemannian metric.3.The parametrization of the caloric morphisms in above 2 by the power of the metric.4.The determination of the caloric morphism on two different punctured euclidean space of radial semi-riemannian metric.5.The determination of the caloric morphism on punctured euclidean space of rotation invariant riemannian metric.

在流形之间的热量态度上，我们获得了以下结果：1。对热量的辐射radial riemannian公制的欧几里得空间的起源的确定，在尺寸大于2.2.的情况下，对辐射仪式上的高度仪式上的euctialian semiemanian Mortration notrication notriand.3.的层次的确定为2.2。公制的力量。4。对径向半河流度量的两个不同刺穿的欧几里得空间的热量形态的确定。5。对旋转不变的欧几里得空间的热量形态的确定在旋转不变性的riemannian riemannian metric上。

项目成果

Toshio Horiuchi: "Missing terms in generalized Hardy's inequalities and its application"J.Math.Kyoto Univ.. 43(3). 235-265 (2003)

Toshio Horiuchi：“广义哈代不等式中的缺失项及其应用”J.Math.Kyoto Univ.. 43(3)。

Toshio Horiuchi, Peter Kumlin: "On the minimal solution for quasilinear degenerate elliptic equation and its blow-up"J.Math.Kyoto Univ.. (印刷中). (2004)

Toshio Horiuchi、Peter Kumlin：“关于拟线性简并椭圆方程及其爆炸的最小解”J.Math.Kyoto Univ..（出版中）。

Missing terms in Hardy-Sobolev inequalities and its application.

Hardy-Sobolev 不等式中的缺失项及其应用。

• 发表时间: 2004
• 期刊: Far Fast Journal of Mathematical Sciences 14(3)
• 作者: A.Detalla;T.Horiuchi;H.Ando
• 通讯作者: H.Ando

Masaharu Nishilo, Katsunori Shimomura: "A characterization of caloric morphisms between manifolds"Ann.Acad.Sci.Fenn.Math.. 28. 111-122 (2003)

Masaharu Nishilo、Katsunori Shimomura：“流形之间热量态射的表征”Ann.Acad.Sci.Fenn.Math.. 28. 111-122 (2003)

Caloric morphisms with respect to radial metrics on R^n＼{0}.

相对于 R^n{0} 上的径向度量的热量态射。

• 发表时间: 2003
• 期刊: Math.J.Ibaraki Univ. 35
• 作者: M.Nishio;K.Shimomura;Katsunori Shimomura
• 通讯作者: Katsunori Shimomura