Calculus of Variations, Spring 2013 Robert V. Kohn Professor of Mathematics Courant Institute, New York University
This is the web page for my Spring 2013 class on the Calculus of Variations (MATH-GA 2660.001). Material will be posted as the semester proceeds.
I previously taught a similar class in Fall 2009; the associated notes are here. This spring's version will start as in 2009, and will be at about the same level, but there will be some differences in the choice of topics.
Syllabus, in pdf format Lecture 1, in pdf format Lectures 2 and 3, in pdf format Lecture 4, in pdf format Lectures 5 and 6, in pdf format Addendum to Lectures 2 & 3 (about why inf sup = sup inf), in pdf format Lecture 7, in pdf format Lecture 8, in pdf format Lecture 9, in pdf format R.V. Kohn and G. Strang, "Fibered structures in optimal design", in pdf format Lecture 10, in pdf format Lecture 11, in pdf format Lecture 12, in pdf format Lecture 13, in pdf format Lecture 14, in pdf format R.V. Kohn and S. Mueller, Rend. Sem. Mat. Fis. Univ. Milano 62 (1992) 89-113, in pdf format