7 citations · 13 across the 7 of their papers we have counts for
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Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates
Neal Bez, Sanghyuk Lee, Shohei Nakamura
We establish new Strichartz estimates for orthonormal families of initial data in the case of the wave, Klein-Gordon and fractional Schrödinger equations. Our estimates extend thos…
Maximal estimates for the Schrödinger equation with orthonormal initial data
Neal Bez, Sanghyuk Lee, Shohei Nakamura
For the one-dimensional Schrödinger equation, we obtain sharp maximal-in-time and maximal-in-space estimates for systems of orthonormal initial data. The maximal-in-time estimates…
Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations
Younghun Hong, Chulkwang Kwak, Shohei Nakamura +1
A nonlinear Schrödinger equation (NLS) on a periodic box can be discretized as a discrete nonlinear Schrödinger equation (DNLS) on a periodic cubic lattice, which is a system of fi…