February 1/2: I lectured about ¡­

February 1/2: I lectured about weak convergence theory (lecture notes can be found on "Syllabus/achievement requirements) and how this fits into the existence theory of calculus of variation. We ended up proving that integral functionals are weakly lower semicontinuous provided the Lagrangian is bounded from below and convex. Next week our first goal is to use this result to prove existence of minimizers.