论文标题
schr {Ö} dinger方程的Strichartz估计，具有单数和时间依赖的潜力和对NLS的应用
Strichartz Estimates for Schr{ö}dinger equation with singular and time dependent Potential and Application to NLS
论文作者
论文摘要
我们建立了对schr {Ö} dinger方程的不均匀质量估计值，具有单数和时间依赖性的不可接受的对。我们的工作扩展了Vilela [23]和Foschi [6]提供的结果，在那里他们在没有潜力的情况下证明了结果。它还扩展了Pierfelice [20]和Burq，Planchon，Stalker，Tahvildar-Zadeh [3]的作品，后者证明了可允许对的估计值。我们还扩展了Mizutani，Zhang，Zheng [17]的最新工作，作为应用程序的应用，我们改善了Kenig-Merle [13]的稳定性结果，这又建立了具有散射解决方案的证明（替代[26]），用于具有逆向平方电位的散射解决方案。
We establish inhomogeneous Strichartz Estimates for the Schr{ö}dinger equation with singular and time dependent potentials for non-admissible pairs. Our work extends the results provided by Vilela [23] and Foschi [6] where they proved the results in the absence of potential. It also extends the works of Pierfelice [20] and Burq, Planchon, Stalker, Tahvildar-Zadeh [3], who proved the estimates for admissible pairs. We also extend the recent work of Mizutani, Zhang, Zheng [17] and as an application of it, we improve the stability result of Kenig-Merle [13], which in turn establishes a proof (alternative to [26]) of existence of scattering solution for the energy critical focusing NLS with inverse square potential.
