THE INITIAL VALUE PROBLEM FOR THE GENERALIZED HEAT OPERATOR ON THE HEISENBERG GROUP  

作　　者：李志斌 罗学波 

机构地区：[1]Department of Mathematics, Lanzhou University, Lanzhou 730000, PRC

出　　处：《Chinese Science Bulletin》1991年第9期710-712,共3页

基　　金：Project supported by the National Natural Science Foundation of China.

摘　　要：In this note we obtain some theorems for the well-posed initial value problem of a class of partial differential equations on the Heisenberg group H_n by means of the group Fourier transform, and therefore derive the formulas for the fundamental solutions of the operators and with the (generalized)Kohn-Laplacian defined by an arbitrary Hermitian metric with respect to CR structure.

关 键 词：HEISENBERG GROUP GROUP FOURIER transform heat operator FUNDAMENTAL solution. 

分 类 号：N[自然科学总论]