Classical Methods and preliminaries of Analysis
27 Fevereiro 2019, 15:30 • José Francisco da Silva Costa Rodrigues
lecture: Friday, 28 February at 14:00 — 17:00 (room 6.2.38)
Classical Methods (conclusion of Chap. 2 of Dacorogna 2004 book) Hamilton formulation. From the Euler-Lagrange equation to the Hamilton system. The Hamilton-Jacobi equation. Reference to the fields theories and an application to the Poincaré inequality in 1-d.
Recommended exercises: 2.2.7 + 2.4.1 + 2.5.1 + 2.6.3
Brief revision of the preliminaries of Funcional Analysis: Lebesgue and Sobolev spaces and some of their basic properties. An overview of Convex Analysis in R
n.