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arXiv · 1401.2210

Hypoellipticity of the $\bar\partial$-Neumann problem by means of subelliptic multipliers

Luca Baracco·Stefano Pinton·Giuseppe Zampieri
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Abstract

We prove local hypoellipticity of the complex Laplacian $\Box$ and of the Kohn Laplacian $\Box_b$ in a pseudoconvex boundary when, for a system of cut-off $\eta$, the gradient $\partial_b\eta$ and the Levi form $\partial_b\bar\partial_b\eta^2$ are subelliptic multipliers in the sense of Kohn.

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Luca Baracco, Stefano Pinton, Giuseppe Zampieri. 2014-01-10. Hypoellipticity of the $\bar\partial$-Neumann problem by means of subelliptic multipliers. https://arxiv.org/abs/1401.2210

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