3 papers
math.AP2026
Reconstruction of time-dependent coefficients in a semilinear dynamical Schr{ö}dinger equation
Parveen Kumar, Gen Nakamura, Manmohan Vashisth
In the present manuscript, we study an inverse problem related to a semilinear dynamical Schr{ö}dinger equation with lower order terms, in a bounded domain of $\Rb^{1+n},n\geq 2$.…
math.FA2025
Convergence Analysis of Levenberg-Marquardt Method for Inverse Problem with Hölder Stability Estimate
Akari Ishida, Sei Nagayasu, Gen Nakamura
We analyze convergence of the Levenberg-Marquardt method for solving nonlinear inverse problems in Hilbert spaces. Specifically, we establish local convergence and convergence rate…
math.AP2024
The Calderón problem for the Schrödinger equation in transversally anisotropic geometries with partial data
Yi-Hsuan Lin, Gen Nakamura, Philipp Zimmermann
We study the partial data Calderón problem for the anisotropic Schrödinger equation \begin{equation} \label{eq: a1} (-Δ_{\widetilde{g}}+V)u=0\text{ in }Ω\times (0,\infty), \end{equ…