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

THE INITIAL VALUE PROBLEM FOR THE GENERALIZED HEAT OPERATOR ON THE HEISENBERG GROUP
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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.
出处 《Chinese Science Bulletin》 SCIE EI CAS 1991年第9期710-712,共3页
基金 Project supported by the National Natural Science Foundation of China.
关键词 HEISENBERG GROUP GROUP FOURIER transform heat operator FUNDAMENTAL solution. HEISENBERG GROUP GROUP FOURIER TRANSFORM HEAT OPERATOR FUNDAMENTAL SOLUTION
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