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arXiv · 2309.06117

On the quasilinear Schr\"odinger equations on tori

Felice Iandoli
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Abstract

We improve the result by Feola and Iandoli [J. de Math. Pures et App., 157:243-281, 2022], showing that quasilinear Hamiltonian Schr\"odinger type equations are well posed on $H^s(\mathbb{T}^d)$ if $s>d/2+3$. We exploit the sharp paradifferential calculus on $\mathbb{T}^d$ introduced by Berti, Maspero and Murgante [J. Dynam. and Differential Equations, 33 (3): 1475-1513, 2021].

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Felice Iandoli. 2023-09-12. On the quasilinear Schr\"odinger equations on tori. https://arxiv.org/abs/2309.06117

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