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- W2897737834 abstract "In this study, we consider the Cauchy problem for a dissipative nonlinear Schrödinger equation. In particular, we show that for any data which belong to the weighted Lebesgue space F H γ with some 0 < γ ≤ min ( n / 2 , 1 ) the solutions to a dissipative nonlinear Schrödinger equation with the nonlinear exponent 1 + 4 / ( n + 2 γ ) < p < 1 + 4 / n behave like the free solutions in F H γ at time positive infinity. The lower bound for p is less than the Strauss exponent for some 0 < γ ≤ min ( n / 2 , 1 ) and if the critical case γ = n / 2 the lower bound is equal to 1 + 2 / n . The main idea of proof is based on an a priori estimate for solutions in F H γ of fractional order." @default.
- W2897737834 created "2018-10-26" @default.
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- W2897737834 date "2019-04-01" @default.
- W2897737834 modified "2023-10-05" @default.
- W2897737834 title "Scattering for solutions of a dissipative nonlinear Schrödinger equation" @default.
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- W2897737834 doi "https://doi.org/10.1016/j.jde.2018.10.016" @default.
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