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1403 Circle Drive, Knoxville, TN 37996
#UTK PDESpeaker: Dr. Son Tu (Michigan State University)
Title: Rate of convergence in quasi-periodic homogenization of Hamilton-Jacobi equation
Abstract: The quantitative homogenization of Hamilton-Jacobi equations has garnered significant interest recently, particularly in the periodic and stochastic settings. In this talk, we present an algebraic convergence rate in a quasi-periodic setting. We establish a link between the convergence rate and the regularity of the effective Hamiltonian, using a new quantitative ergodic estimate for bounded quasi-periodic functions with Diophantine frequencies. As an application, we also analyze the convergence rate of the Birkhoff averages for unbounded quasi-periodic functions.
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