Local Solvability on H_1: Non-homogeneous Operators
Analysis of PDEs
2011-10-12 v2 Classical Analysis and ODEs
Abstract
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.
Cite
@article{arxiv.1104.5515,
title = {Local Solvability on H_1: Non-homogeneous Operators},
author = {Christopher J. Winfield},
journal= {arXiv preprint arXiv:1104.5515},
year = {2011}
}
Comments
37 pages. Minor corrections in text; results unchanged. Slightly condensed version to appear in Math. Z