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- W3208710267 abstract "We consider the logarithmic Schrodinger equations with damping, also called Schrodinger-Langevin equation. On a periodic domain, this equation possesses plane wave solutions that are explicit. We prove that these solutions are asymptotically stable in Sobolev regularity. In the case without damping, we prove that for almost all value of the nonlinear parameter, these solutions are stable in high Sobolev regularity for arbitrary long times when the solution is close to a plane wave. We also show and discuss numerical experiments illustrating our results." @default.
- W3208710267 created "2021-11-08" @default.
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- W3208710267 date "2021-10-30" @default.
- W3208710267 modified "2023-10-18" @default.
- W3208710267 title "Around plane waves solutions of the Schrödinger-Langevin equation" @default.
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