Stability in the determination of the coefficients for coupled relativistic Schrödinger system
Year: 2026
Type: preprint
Abstract: In this article, we prove a stability result for the identification of the coefficients appearing in a coupled relativistic Schrödinger system posed on a bounded domain of $\mathbb{R}^{1+n}$, where $n \geq 3$. More precisely, by utilizing input-output operator, where Neumann boundary data are available only on a subset of the boundary, and constructing an appropriate geometric optics solution, we derive a stability estimate of $\log$-$\log$ type for the matrix-valued first-order coefficients. This result is subsequently used to obtain a $\log$-$\log$-$\log$ type stability estimate for the zeroth-order matrix-valued potential.
Source: arXiv (Cornell University)
Authors: Kumar, Nitesh, Kumar, Parveen, Sarkar, Tanmay
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221790032