Sobolev orthogonal polynomials in two variables and partial differential equations

Analysis Seminar
Wednesday, October 6, 2010 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 269
Miguel Pinar – Dpto. Matematica Aplicada, Universidad de Granada
Jeff Geronimo
Sobolev orthogonal polynomials in two variables are defined via inner products involving gradients. Such a kind of inner product appears in connection with several physical and technical problems. Matrix second-order partial differential equations satisfied by Sobolev orthogonal polynomials are studied. In particular, we explore the connection between the coefficients of the second-order partial differential operator and the moment functionals defining the Sobolev inner product. Finally, some old and new examples are given.