Sergiu Klainerman

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Introduction to Analysis (Fall 2011)

 

This is a fast movinfg course in moderna Analysis and PDE's for graduate students. Here is a list of topics:

  1. The world of PDE's.
  2. Equations derived by the variational principle.
  3. Theory of distributions and Fourier Analysis.
  4. Basic Inequalities of Real Analysis.
  5. Calderon-Zygmund Theory.
  6. Strichatz Inequalities and Bilinear Estimates.
  7. Applications to PDE's.

Topics on the Mathematical Theory of Black Holes (Fall 2011)

Will cover various topics concerning he rigidity and stabil;ity of Black Holes.

 

Current courses: