2 papers
math.NA2026
Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory
Navaraj Neupane, Loc H. Nguyen
We study an inverse initial-data problem for a quasilinear transport equation with nonlinear and memory effects. The unknown initial state is reconstructed from time-dependent meas…
math.NA2026
Inverse initial data for nonlinear Schrödinger equation via Carleman estimates and the contraction principle
Navaraj Neupane, Loc Nguyen
We study an inverse initial-data problem for a nonlinear Schrödinger equation in which the initial wave field is reconstructed from lateral measurements. Our approach combines a L…