Local Solvability for a Class of Nonhomogeneous Left Invariant Differential Operators on H<sub>R</sub> \bigotimes R<sup>k</sup>
Year: 1990
Journal of Partial Differential Equations, Vol. 3 (1990), Iss. 2 : pp. 16–26
Abstract
In this paper we discuss tbe local solvability of the following nonhomogeneous left invariant differential operators on the nilpotent Lie group H_n⊗R^K: P(X, Y, T, Z) = Σ_{|α+β|+ζ+|y|≤m|α+β|+2l=a}a_{αβly}X^αY^βT^lZ^y where X_j, Y_j (j = 1, 2, …, n), T, Z_j(j = l, 2, …, K) are bases of left invariant vector fields on H_n⊗R^K and a_{αβly} are complex constants.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1990-JPDE-5795
Journal of Partial Differential Equations, Vol. 3 (1990), Iss. 2 : pp. 16–26
Published online: 1990-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Local solvability