Large \(|k|\) behavior of d-bar problems for domains with a smooth boundary (Q2055116)
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| English | Large \(|k|\) behavior of d-bar problems for domains with a smooth boundary |
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Large \(|k|\) behavior of d-bar problems for domains with a smooth boundary (English)
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3 December 2021
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Summary: 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. For the entire collection see [Zbl 1465.35005].
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d-bar problems
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Dirac systems
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semiclassical limit
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smooth boundaries
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