Energy scattering for the unsteady damped nonlinear Schrodinger equation

Published 25 Nov 2023 in math.AP, math-ph, and math.MP | (2311.14980v3)

Abstract: We investigate the large time behavior of the solutions to the nonlinear focusing Schr\"odinger equation with a time-dependent damping in the energy sub-critical regime. Under non classical assumptions on the unsteady damping term, we prove some scattering results in the energy space.

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