A method combining Legendre basis reduction in time with a Carleman-estimate-based contraction mapping reconstructs initial data for nonlinear Schrödinger equations from boundary observations, with proven stability under noise.
Stable determination of time-dependent scalar potential from boundary measurements in a periodic quantum waveguide.SIAM Journal on Mathematical Analysis, 47(6):4536–4558
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.NA 1years
2026 1verdicts
UNVERDICTED 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Inverse initial data for nonlinear Schr\"odinger equation via Carleman estimates and the contraction principle
A method combining Legendre basis reduction in time with a Carleman-estimate-based contraction mapping reconstructs initial data for nonlinear Schrödinger equations from boundary observations, with proven stability under noise.