Javascript must be enabled

A. S. Fokas : Differential Forms, Spectral Theory and Boundary Value Problems

A new method will be reviewed for analyzing boundary value problems for linear and integrable nonlinear PDEs. This method involves the following:

  1. Given a PDE for q(x), x in Rn, construct a closed (n-1)-differential form W(x,k), k in Cn-1.
  2. Given a convex domain D contained in Rn, perform the spectral analysis of W
  3. Given appropriate boundary conditions, analyze the global relation
    \int_{\partial D} W

For linear PDEs, the relation of this method with the Ehrenpreis-Palamodov principle, as well as the relations with applied techniques such as the Weiner-Hopf technique will be discussed.

Please select playlist name from following

Report Video

Please select the category that most closely reflects your concern about the video, so that we can review it and determine whether it violates our Community Guidelines or isn’t appropriate for all viewers. Abusing this feature is also a violation of the Community Guidelines, so don’t do it.


Comments Disabled For This Video