MA 321: Analysis III

Credits: 3:0

  Theory of Distributions: Introduction, Topology of test functions, Convolutions, Schwartz Space, Tempered distributions.

Fourier transform and Sobolev-spaces:Definitions, Extension operators, Continuum and Compact imbeddings, Trace results.

Elliptic boundary value problems: Variational formulation, Weak solutions, Maximum Principle, Regularity results.

Suggested books and references:

  1. Barros-Nato, An Introduction to the Theory of Distributions, Marcel Dekker Inc., New York, 1873.
  2. Kesavan, S., Topics in Functional Analysis and Applications, Wiley Eastern Ltd., 1989.
  3. Evans, L. C., Partial Differential Equations, Univ. of California, Berkeley, 1998.
  4. Schwartz, L. Hermann, Theorie des Distributions, 1966.

All Courses

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 14 Jul 2024