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Chapitre D'ouvrage Année : 2021

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

Résumé

In this work we study the large |k| behavior of complex geometric optics solutions to a system of d-bar equations for a potential being the characteristic function of a strictly convex set with smooth boundary, by using almost holomorphic functions. This is an extension of our previous work where we consider sets with real-analytic boundary.

Dates et versions

hal-03509854 , version 1 (04-01-2022)

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Christian Klein, Johannes Sjöstrand, Nikola Stoilov. Large $|k|$ behavior of d-bar problems for domains with a smooth boundary. Partial Differential Equations, Spectral Theory, and Mathematical Physics, European Mathematical Society Publishing House, pp.267-275, 2021, ⟨10.4171/ECR/18-1/15⟩. ⟨hal-03509854⟩
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