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arXiv · 2610.15013

Stability in the determination of the coefficients for coupled relativistic Schrödinger system

Nitesh Kumar·Parveen Kumar·Tanmay Sarkar
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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.

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Nitesh Kumar, Parveen Kumar, Tanmay Sarkar. 2026-10-10. Stability in the determination of the coefficients for coupled relativistic Schrödinger system. https://arxiv.org/abs/2610.15013

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