On the Initial Value Problem and Fundamental Solution for a Class of Homogeneous Left Invariant Differential Operators on the Heisenberg Group

数学季刊 ›› 1994, Vol. 9 ›› Issue (3): 6-12.

On the Initial Value Problem and Fundamental Solution for a Class of Homogeneous Left Invariant Differential Operators on the Heisenberg Group

Department of Mathematics,Lanzhou University; Department of Physics,Lanzhou University

收稿日期:1994-01-19 出版日期:1994-09-30 发布日期:2025-04-15

On the Initial Value Problem and Fundamental Solution for a Class of Homogeneous Left Invariant Differential Operators on the Heisenberg Group

Department of Mathematics,Lanzhou University; Department of Physics,Lanzhou University

Received:1994-01-19 Online:1994-09-30 Published:2025-04-15

摘要/Abstract

摘要： In this paper we will study the wellposed of the initial value problem associated to the homogeneous left invariant differential operator on the Heisenberg group by the method of group Forier anasis ... where a,>0,r∈R)on the Heisenberg group,then obtain the explicit expression of the fundamental solutions for the generalized heat operator and the operator L.

关键词: , group Fourier transform, fundamental solution, wellopsed

Abstract: In this paper we will study the wellposed of the initial value problem associated to the homogeneous left invariant differential operator on the Heisenberg group by the method of group Forier anasis ... where a,>0,r∈R)on the Heisenberg group,then obtain the explicit expression of the fundamental solutions for the generalized heat operator and the operator L.

Key words: , group Fourier transform, fundamental solution, wellopsed

中图分类号:

O241

牛鹏程, 关驻军. On the Initial Value Problem and Fundamental Solution for a Class of Homogeneous Left Invariant Differential Operators on the Heisenberg Group[J]. 数学季刊, 1994, 9(3): 6-12.

Niu Pengcheng, Zheng Zhujun. On the Initial Value Problem and Fundamental Solution for a Class of Homogeneous Left Invariant Differential Operators on the Heisenberg Group[J]. Chinese Quarterly Journal of Mathematics, 1994, 9(3): 6-12.

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On the Initial Value Problem and Fundamental Solution for a Class of Homogeneous Left Invariant Differential Operators on the Heisenberg Group

On the Initial Value Problem and Fundamental Solution for a Class of Homogeneous Left Invariant Differential Operators on the Heisenberg Group

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