Speaker: Jiawei Cheng (Fudan University)
Time: September 9, 2025, 10:00 a.m.
Location:R810, SIMIS
摘要：
Continuum limit is known as the convergence problem when the stepsize of the lattice graph tends to zero. In this talk, we will establish uniform Strichartz estimates for the discrete fourth-order Schrödinger equation on the lattice hZ^2. The key problem is to analyze frequency localized oscillatory integrals with the method of stationary phase and applying Littlewood–Paley inequalities. As an application, we obtain the precise rate of L^2 convergence from the solutions of discrete semilinear equations to those of the corresponding equation on the Euclidean plane R^2 as h → 0.
About speaker:
Jiawei Cheng is a phd at Fudan University, supervised by Professor Bobo Hua. His research focuses on dispersion equations on graphs (dispersion estimation, Strichartz estimation, and continuum limits). He is currently a joint student at Paris-Saclay University in France, with his international supervisor Nicolas Burq.
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