Sobolev Orthogonal Polynomials in Two Variables and Second Order Partial Differential Equations

@inproceedings{Lee2007SobolevOP,
  title={Sobolev Orthogonal Polynomials in Two Variables and Second Order Partial Differential Equations},
  author={J K Lee and Lance L. Littlejohn},
  year={2007}
}
We consider polynomials in two variables which satisfy an admissible second order partial differential equation of the form (*) Auxx + 2Buxy + Cuyy +Dux + Euy = u; and are orthogonal relative to a symmetric bilinear form de…ned by '(p; q) = h ; pqi+ h ; pxqxi ; where A; ; E are polynomials in x and y; is an eigenvalue parameter, and are linear functionals… CONTINUE READING