Convexity in Calculus of Variations

Felipe Hernandez (MIT)
Sunday, 8 February 2015, 1:55 PM
Harvard, Science Center 310

Variational problems appear in many practical contexts. For example, equilibrium configurations of solids can often be described as energy-minimizing configurations. In these situations, convexity can play an important role in ensuring the existence, uniqueness, or even regularity of a solution. In this talk, we will discuss simple manifestations of this phenomenon and demonstrate how these concepts are related.