PDE Geometric Analysis seminar

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The seminar will be held in room 901 of Van Vleck Hall on Mondays from 3:30pm - 4:30pm, unless indicated otherwise.

Previous PDE/GA seminars

Tentative schedule for Spring 2016

Seminar Schedule Fall 2015

date speaker title host(s)
September 7 (Labor Day)
September 14 (special room: B115) Hung Tran (Madison) Some inverse problems in periodic homogenization of Hamilton--Jacobi equations
September 21 Eric Baer (Madison) TBA
September 28 Donghyun Lee (Madison) TBA
October 5 Hyung-Ju Hwang (Postech & Brown Univ) TBA Kim
October 12 Binh Tran (Madison) TBA
October 19 Bob Jensen (Loyola University Chicago) TBA Tran
October 26 Luis Silvestre (Chicago) TBA Kim
November 2 Connor Mooney (UT Austin) TBA Lin
November 9 Yifeng Yu (UC Irvine) TBA Tran
November 16 Lu Wang (Madison) TBA
November 23
November 30
December 7
December 14 reserved Zlatos

Abstract

Hung Tran

Some inverse problems in periodic homogenization of Hamilton--Jacobi equations.

Abstract: We look at the effective Hamiltonian $\overline{H}$ associated with the Hamiltonian $H(p,x)=H(p)+V(x)$ in the periodic homogenization theory. Our central goal is to understand the relation between $V$ and $\overline{H}$. We formulate some inverse problems concerning this relation. Such type of inverse problems are in general very challenging. I will discuss some interesting cases in both convex and nonconvex settings. Joint work with Songting Luo and Yifeng Yu.