Stability of inverse boundary value problem for the fourth-order Schr\"odinger equation
Abstract
This paper is concerned with the stability of the inverse boundary value problem for the perturbed fourth-order Schr\"odinger equation in a bounded domain with Cauchy data. We establish stability results for the perturbed potential relying on boundary measurements. The estimates depend on various a priori information regarding the regularity and the support of the inhomogeneity. The proof primarily utilizes the complex geometric optics solution method and Fourier analysis.
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.