Propagation of regularity for solutions of the Kohn Laplacian in a flat boundary

Details Propagation of regularity for solutions of the Kohn Laplacian in a flat boundary Propagation of regularity for solutions of the Kohn Laplacian in a flat boundary

2009-08-14

arxiv.org/abs/0908.2149v1

Mathematics

Complex Variables

Scientific paper

We prove that CR lines in an exponentially degenerate boundary are
propagators of holomorphic extension. This explains, in the context of the CR
geometry, why in this situation the induced Kohn-Laplacian $\Box_b$ is not
hypoelliptic according to recent work by Christ.

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