Propagation of regularity for solutions of the Kohn Laplacian in a flat boundary
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🧮 math.CV
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boundaryaccordingchristcontextdegenerateexplainsexponentiallyextension
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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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