Local Solvability on H_1: Non-homogeneous Operators

Details Local Solvability on H_1: Non-homogeneous Operators Local Solvability on H_1: Non-homogeneous Operators

2011-04-28

arxiv.org/abs/1104.5515v2

Mathematics

Analysis of PDEs

37 pages. Minor corrections in text; results unchanged. Slightly condensed version to appear in Math. Z

Scientific paper

Local solvability and non-solvability are classified for left-invariant differential operators on the Heisenberg group H_1 of the form L=P_n(X,Y)+Q(X,Y) where the P_n are certain homogeneous polynomials of order n greater than or equal to 2 and Q is of lower order with X= \partial_x, Y=\partial_y+x\partial_w on R^3. We extend previous studies of operators of the form P_n(X,Y) via representations involving ordinary differential operators with a parameter.

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