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Lower bound estimate for the dissipative nonlinear Schrödinger equation

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  • Takuya Sato

    (Tohoku University)

Abstract

We consider the Cauchy problem for the nonlinear Schrödinger equation with a power type nonlinearity $$\uplambda |u|^{p-1}u$$ λ | u | p - 1 u . The condition Im $$\uplambda 1+2/n$$ p > 1 + 2 / n .

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  • Takuya Sato, 2021. "Lower bound estimate for the dissipative nonlinear Schrödinger equation," Partial Differential Equations and Applications, Springer, vol. 2(5), pages 1-11, October.
    • Handle: RePEc:spr:pardea:v:2:y:2021:i:5:d:10.1007_s42985-021-00119-2
    DOI: 10.1007/s42985-021-00119-2
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    References listed on IDEAS

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    1. Nakao Hayashi & Chunhua Li & Pavel I. Naumkin, 2016. "Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-7, February.
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      35Q55; 35Q40;

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