On Poisson-Dirichlet problems with polynomial data

Gzyl, Henryk. "On Poisson-Dirichlet problems with polynomial data." Publicacions Matemàtiques 46.2 (2002): 465-471. <http://eudml.org/doc/41460>.

@article{Gzyl2002,
abstract = {In this note we provide a probabilistic proof that Poisson and/or Dirichlet problems in an ellipsoid in Rd, that have polynomial data, also have polynomial solutions. Our proofs use basic stochastic calculus. The existing proofs are based on famous lemma by E. Fisher which we do not use, and present a simple martingale proof of it as well.},
author = {Gzyl, Henryk},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones diferenciales estocásticas; Integración estocástica; Problemas de valor de frontera; Problema de Dirichlet; Ecuación de Poisson; Funciones polinómicas; Poisson-Dirichlet problems; stochastic calculus},
language = {eng},
number = {2},
pages = {465-471},
title = {On Poisson-Dirichlet problems with polynomial data},
url = {http://eudml.org/doc/41460},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Gzyl, Henryk
TI - On Poisson-Dirichlet problems with polynomial data
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - 2
SP - 465
EP - 471
AB - In this note we provide a probabilistic proof that Poisson and/or Dirichlet problems in an ellipsoid in Rd, that have polynomial data, also have polynomial solutions. Our proofs use basic stochastic calculus. The existing proofs are based on famous lemma by E. Fisher which we do not use, and present a simple martingale proof of it as well.
LA - eng
KW - Ecuaciones diferenciales estocásticas; Integración estocástica; Problemas de valor de frontera; Problema de Dirichlet; Ecuación de Poisson; Funciones polinómicas; Poisson-Dirichlet problems; stochastic calculus
UR - http://eudml.org/doc/41460
ER -