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Younghun Hong, RLM 10.176: Continuum limits for nonlinear dispersive equations
Wednesday, February 13, 2019, 01:00pm - 02:00pm
We consider the continuum limit problem for discrete nonlineardispersive equations on a lattice domain. First, we introducea general strategy to prove strong convergence involving uniform-in-$h$Strichartz estimates where h is a positive small mesh size. Then,we discuss some issues in obtaining such Strichartz estimatesdue to the different features of the lattice domain, and we giveproofs for Schr?dinger and wave equations on hZ^d (or on a two-dimensionalperiodic lattice). This talk is based on the joint work withC. Yang, C. Kwak and S. Nakamura.
Location: RLM 10.176

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