Large ∣k∣ Behavior of Complex Geometric Optics Solutions to d‐bar Problems

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چکیده

Complex geometric optics solutions to a system of d-bar equations appearing in the context electrical impedance tomography and scattering theory integrable Davey-Stewartson II are studied for large values spectral parameter k. For potentials q ∈ ⋅ − 2 H s ℂ some 1 , it is shown that solution converges as series / k . being characteristic function strictly convex open set with smooth boundary, this still holds = 3/2, i.e., ∣ instead The leading-order contributions computed explicitly. Numerical simulations show applicability asymptotic formulae example disk. © 2022 Courant Institute Mathematics Wiley Periodicals LLC.

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ژورنال

عنوان ژورنال: Communications on Pure and Applied Mathematics

سال: 2022

ISSN: ['1097-0312', '0010-3640']

DOI: https://doi.org/10.1002/cpa.22075