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arXiv · 2205.14605

Asymptotic behavior of solutions to a dissipative nonlinear Schr\"odinger equation with time dependent harmonic potentials

Masaki Kawamoto·Takuya Sato
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Abstract

We consider the Cauchy problem of a dissipative nonlinear Schr\"odinger equation with a time dependent harmonic potential. We find a critical situation that the $L^2$-norm of dissipative solutions decays or not and which is decided by a nonlinear power and time decay order of harmonic potential.

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Masaki Kawamoto, Takuya Sato. 2022-05-29. Asymptotic behavior of solutions to a dissipative nonlinear Schr\"odinger equation with time dependent harmonic potentials. https://arxiv.org/abs/2205.14605

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