MA 374: Introduction to the Calculus of Variations

Credits: 3:0

Prerequisite courses: MA 221, MA 222, MA 223

Course Objective To provide a gentle introduction to the direct methods in Calculus of Variations concerning minimizations problems, excluding minmax methods. The focus will be on illustrating the main methods using important prototype examples and not on proving the most general or the sharpest results.

Target audience This course is primarily intended for students of Mathematics with interests in Analysis, PDE and/or differential Geometry and geometric analysis, especially minimal surfaces. However, students of physics and different branches of engineering ( especially mechanical engineering ) and economics would still probably find a portion of the course useful for them.

Course contents and outline Our goal is to cover the following topics:

Suggested books and references:

  1. Dacorogna, B., Introduction to the calculus of variations, third ed., Imperial College Press, London, 2015.
  2. Jost, J., and Li-Jost, X., Calculus of variations, vol.64 of Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, 1998.
  3. Struwe, M., Plateau's problem and the calculus of variations, vol.35 of Mathematical Notes, Princeton University Press, Princeton, NJ, 1988.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 02 Mar 2021