A computation of Poisson kernels for some standard weighted biharmonic operators in the unit disc
Analysis of PDEs
2007-07-04 v1 Classical Analysis and ODEs
Abstract
We compute Poisson kernels for integer weight parameter standard weighted biharmonic operators in the unit disc with Dirichlet boundary conditions. The computations performed extend the supply of explicit examples of such kernels and suggest similar formulas for these Poisson kernels to hold true in more generality. Computations have been carried out using the open source computer algebra package Maxima.
Keywords
Cite
@article{arxiv.0707.0414,
title = {A computation of Poisson kernels for some standard weighted biharmonic operators in the unit disc},
author = {Anders Olofsson},
journal= {arXiv preprint arXiv:0707.0414},
year = {2007}
}