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Scattering Theory for the Defocusing Fourth Order NLS with Potentials
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作者 hong liang feng Hua WANG Xiao Hua YAO 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2018年第4期773-786,共14页
Based on the endpoint Strichartz estimates for the fourth order SchrSdinger equation with potentials for n ≥ 5 by [Feng, H., Softer, A., Yao, X.: Decay estimates and Strichartz estimates of the fourth-order Schr6din... Based on the endpoint Strichartz estimates for the fourth order SchrSdinger equation with potentials for n ≥ 5 by [Feng, H., Softer, A., Yao, X.: Decay estimates and Strichartz estimates of the fourth-order Schr6dinger operator. J. Funct. Anal., 274, 605-658 (2018)], in this paper, the authors further derive Strichartz type estimates with gain of derivatives similar to the one in [Pausader, B.: The cubic fourth-order Schr6dinger equation. J. Funct. Anal., 256, 2473-2517 (2009)]. As their applications, we combine the classical Morawetz estimate and the interaction Morawetz estimate to establish scattering theory in the energy space for the defocusing fourth order NLS with potentials and pure power nonlinearity 1 + 8/n〈 p 〈 1 + 8/n-4 in dimensions n ≥ 7. n 展开更多
关键词 Fourth order NLS potential morawetz estimate SCATTERING
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