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On scattering asymptotics for the 2D cubic resonant system
K Yang, Z Zhao - Journal of Differential Equations, 2023 - Elsevier
In this paper, we prove scattering asymptotics for the 2D (discrete dimension) cubic resonant
system. This scattering result was used in Zhao [38] as an assumption to obtain the …
system. This scattering result was used in Zhao [38] as an assumption to obtain the …
On Strichartz estimate for many body Schrödinger equations in the waveguide setting
Z Lyu, Z Zhao - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
In this short paper, we prove Strichartz estimates for N-body Schrödinger equations in the
waveguide manifold setting (ie on semiperiodic spaces R m× T n where m≥ 3), provided …
waveguide manifold setting (ie on semiperiodic spaces R m× T n where m≥ 3), provided …
On well-posedness results for the cubic-quintic NLS on
We consider the periodic cubic-quintic nonlinear Schr\" odinger equation\begin {align}\label
{cqnls_abstract}(i\partial_t+\Delta) u=\mu_1| u|^ 2 u+\mu_2| u|^ 4 u\tag {CQNLS}\end {align} …
{cqnls_abstract}(i\partial_t+\Delta) u=\mu_1| u|^ 2 u+\mu_2| u|^ 4 u\tag {CQNLS}\end {align} …
On Strichartz estimate for many body Schr\" odinger equation in the waveguide setting
Z Zhao - arxiv preprint arxiv:2301.13429, 2023 - arxiv.org
In this short paper, we prove Strichartz estimates for N-body Schr\" odinger equations in the
waveguide manifold setting (ie on semiperiodic spaces $\mathbb {R}^ m\times\mathbb {T} …
waveguide manifold setting (ie on semiperiodic spaces $\mathbb {R}^ m\times\mathbb {T} …