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Creators/Authors contains: "Zhao, Zehua"

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  1. ; ; ; (, Nonlinear Analysis)
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  2. ; ; ; (, Forum Mathematicum)
    Abstract In this paper, we prove Strichartz estimates for many body Schrödinger equations in the periodic setting, specifically on tori 𝕋 d {\mathbb{T}^{d}}, where d ≥ 3 {d\geq 3}. The results hold for both rational and irrational tori, and for small interacting potentials in a certain sense. Our work is based on the standard Strichartz estimate for Schrödinger operators on periodic domains, as developed in [J. Bourgain and C. Demeter,The proof of the l 2 l^{2}decoupling conjecture,Ann. of Math. (2) 182 2015, 1, 351–389]. As a comparison, this result can be regarded as a periodic analogue of [Y. Hong,Strichartz estimates forN-body Schrödinger operators with small potential interactions,Discrete Contin. Dyn. Syst. 37 2017, 10, 5355–5365] though we do not use the same perturbation method. We also note that the perturbation method fails due to the derivative loss property of the periodic Strichartz estimate. 
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  3. ; ; ; (, Dynamics of Partial Differential Equations)
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  4. ; ; ; (, Communications in Partial Differential Equations)
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