Göm menyn

Den efterfrågade sidan finns ej på det önskade språket.

Till nästa tillgängliga sida.

Den efterfrågade artikeln finns för dessa språk..

Page in English.

Calculus of Variations and some Optimal Control/

Number of credits: 4 hp

Examiner: Gunnar Aronsson

Course literature: Own material.

Course contents: Euler-Lagrange equations in some classical cases. Counterexamples for existence. Semi-classical approach by Tonelli. Existence and regularity theorems. Direct methods. Importance of lower semi-continuity. Dirichlet integral and Laplace equation. P-Dirichlet integral and p-Laplace equation. Minimal surface equation; Mumford-Shah functional; generalized E. equations for some minimax problems; infinity Laplace equation. Variational system for ODE. "Spike" and "multispike" perturbations. Basic perturbation formula; perturbation cone. Brouwer´s fixed point theorem and a covering principle for continuous mappings. Barycentric coordinates. Pontryagin´s maximum principle in various cases. What is a switch?

Organisation: Lectures and (as part of examination) exercises.

Examination: Exercises (assignments).

Prerequisites: Analysis and integration theory.

Sidansvarig: karin.johansson@liu.se
Senast uppdaterad: 2014-04-29