Large|k|Behavior for the Reflection Coefficient for Davey-Stewartson II Equations - Archive ouverte HAL
Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2023

Large|k|Behavior for the Reflection Coefficient for Davey-Stewartson II Equations

Résumé

The study of complex geometric optics solutions to a system of d-bar equations appearing in the context of electrical impedance tomography and the scattering theory of the integrable Davey–Stewartson II equations for large values of the spectral parameter in [C. Klein, J. Sjöstrand, and N. Stoilov, Comm. Pure Appl. Math., to appear] is extended to the reflection coefficient. For the case of potentials with compact support on some domain with smooth strictly convex boundary, improved asymptotic relations are provided.
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Dates et versions

hal-04356326 , version 1 (20-12-2023)

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Christian Klein, Johannes Sjöstrand, Nikola Stoilov. Large|k|Behavior for the Reflection Coefficient for Davey-Stewartson II Equations. SIAM Journal on Mathematical Analysis, 2023, 55 (5), pp.4912-4937. ⟨10.1137/22M1487916⟩. ⟨hal-04356326⟩
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