Inverse Problem of Calculus of Variations

Thursday, March 13, 2014 - 10:30am - 11:30am
Lind 305
Irina Kogan (North Carolina State University)
This week seminar will be devoted to the inverse problem of calculus of variations: 1) given a system of equations, decide whether or not it comes from a variational principle; 2) if the answer is positive, find a corresponding Lagrangian. I will present Vainberg, Volterra solution to this problem, as well as a solution in terms of the variational bicomplex. I will not prove the results but illustrate them by examples.