Abstract
In this paper we investigate the existence of a unique global mild solution in H 1 ( R 3 ) of the initial-boundary value problem associated with the logarithmic Schrödinger equation i ∂ t ψ = − D Δ ψ + σ log ( | ψ | 2 ) ψ , with D > 0 and σ ∈ R ∖ { 0 } .
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