Sobolev orthogonal polynomials in two variables and partial differential equations

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