Large |k| behavior for the reflection coefficient for Davey-Stewartson II equations

Abstract

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 k in KlSjSt20 is extended to the reflection coefficient. For the case of potentials q with compact support on some domain with smooth strictly convex boundary, improved asymptotic relations are provided.

0

Turn this paper into a full lesson

ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…