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# Analysis Seminar – Shibin Dai (University of Alabama)

## March 23, 2018 @ 3:00 pm - 4:00 pm

Title: An introduction to Gamma convergence

Abstract: Many mathematical problems involve parameters that make those problems more and more complex or degenerate. It is of great interest to study the limiting behavior when the parameter varies. One class of such problems can be studied in a variational framework. Writing $F_\epsilpon$ as a class of functional defined in a space $X_\epsilon$, we want to explore the limiting behavior of $F_epsilon$ as $\epsilon$ approaches zero. This usually can not be formally obtained by taking $\epsilon$ to be zero, for instance, $\epsilon$ may appear in negative power. In this talk, I will introduce the concept of Gamma convergence which handles the variational limit of a sequence of functionals, and describe a classical result for phase transition problems.