TY - JOUR
T1 - Algebraic Methods in Partial Differential Operators
JO - Journal of Partial Differential Equations
VL - 2
SP - 114
EP - 120
PY - 2005
DA - 2005/05
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5348.html
KW - Chow's lemma
KW - regular partial differential operators
KW - meromrphic functions
KW - homogeneous polynomials
KW - Euler's differential operator
AB - In this paper we build a class of partial differential operators L having the following property : if u is a meromorphic function in \mathbb{C}^n and Lu is a rational function \frac{A}{q}, with q homogenous, then u is also a rational function.