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- W2022753476 abstract "We study the long time behaviour of the solutions to a nonlinear Schrödinger equation, in presence of a damping term, and a forcing term, when the space variable x varies over R. We show that the long time behaviour is described by an attractor which captures all the trajectories in H1(R). Our main result is concerned with the asymptotic smoothing effect for the equations. In other words, we prove that the attractor is included and compact in H2(R), generalizing results proven in [1] in the compact (bounded) case (see also [2])." @default.
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- W2022753476 title "Regularity of the attractor for a weakly damped nonlinear Schrödinger equation on R" @default.
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- W2022753476 doi "https://doi.org/10.1016/s0893-9659(98)00170-0" @default.
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