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arXiv · 2010.04423

Large $|k|$ behavior of d-bar problems for domains with a smooth boundary

C. Klein·Johannes Sjöstrand·N. Stoilov
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Abstract

In a previous work on the large $|k|$ behavior of complex geometric optics solutions to a system of d-bar equations, we treated in detail the situation when a certain potential is the characteristic function of a strictly convex set with real-analytic boundary. We here extend the results to the case of sets with smooth boundary, by using almost holomorphic functions.

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C. Klein, Johannes Sjöstrand, N. Stoilov. 2020-10-09. Large $|k|$ behavior of d-bar problems for domains with a smooth boundary. https://arxiv.org/abs/2010.04423

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