Math Department Invited Talks

[Math Department Invited Talk] Quantitative Homogenization of Parabolic Equations

Abstract: In this talk I will describe some recent work, joint with Jun Geng at Lanzhou University, on quantitative homogenization of parabolic equations and systems with periodic coefficients varying rapidly in space and time, in different scales. We prove large-scale interior and boundary Lipschitz estimates, as well as large-scale higher-orderestimates by utilizing higher-order correctors. The problem of convergence rates is also studied.