### Sobolev orthogonal polynomials in two variables and partial differential equations

- Series
- Analysis Seminar
- Time
- Wednesday, October 6, 2010 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Miguel Pinar – Dpto. Matematica Aplicada, Universidad de Granada

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.