2 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…