Quadratic schemes achieve optimal data sizes for a class of nonlinear implicit problems and improve data size plus regularity bounds for singular perturbations of nonlinear Schrödinger systems via free-flow decomposition and an abstract Nash-Moser-Hörmander theorem.
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Size of data in implicit function problems and singular perturbations for nonlinear Schr\"odinger systems
Quadratic schemes achieve optimal data sizes for a class of nonlinear implicit problems and improve data size plus regularity bounds for singular perturbations of nonlinear Schrödinger systems via free-flow decomposition and an abstract Nash-Moser-Hörmander theorem.