Bogdan Raiță, Georgetown University
Event Date
2026-03-23
Event Time
02:30 pm ~ 03:30 pm
Event Location
Wachman Hall 617
Abstract: We review recent developments in the theory of weak convergence of pde-constrained sequences. We consider the weak lower semicontinuity problem along weakly convergent $\mathcal{A}$-free sequences, where $\mathcal{A}$ is a linear pde system of constant rank and provide improvements of the $\mathcal{A}$-quasiconvexity theory of Fonseca-Müller and compensated compactness theory of Murat-Tartar. Special emphasis will be placed on concentration effects of weak convergence, in particular by presenting the resolution of a question due to Coifman-PL Lions-Meyer-Semmes, which leads to a recent connection between quasiconvexity and higher integrability. Joint work with André Guerra, Jan Kristensen, Matthew Schrecker.