Home Research Teaching Seminar Notes CV

SIAM Student Chapter Calculus of Variations Reading Group

A reading group following chapter 8 of Evans' Partial Differential Equations. Organized by the UConn SIAM Student Chapter in Spring 2023, with presentations by UConn PhD students.

L. C. Evans, Partial differential equations, 2nd ed., Graduate Studies in Mathematics, Vol. 19, American Mathematical Society, Providence, 2010. MR 2597943

Date Speaker Topic
2/6/2023 Erik Wendt Introduction, first variation, and the Euler-Lagrange equation.
2/13/2023 Alec Wendland and Jacob Brown Second variation, examples.
2/20/2023 Peter Graziano Systems: Euler-Lagrange equations and null Lagrangians.
2/27/2023 Jacob Brown Existence of minimizers: Coercivity, lower semicontinuity, and convexity.
3/6/2023 Jacob Brown Existence of minimizers: Existence and uniqueness, weak solutions of Euler-Lagrange equation.
3/13/2023 ---
3/20/2023 Xiaohang Ma Existence of minimizers: Local minimizers.
3/27/2023 Xiaohang Ma Regularity of minimizers.
4/3/2023 ---
4/10/2023 Alec Wendland Constraints: Nonlinear eigenvalue problems, Lagrange multipliers.
4/17/2023 Alec Wendland Constraints: Nonlinear eigenvalue problems, Lagrange multipliers, unilateral constraints.