We give a necessary and sufficient condition for the existence of global solutions of some partial differential equation which is locally solvable and give some applications in complex analysis of several variables.
Publié le : 2001-07-15
Classification:
global solutions of PDE,
Stein holomorphic family,
35B60,
32L05,
58D10
@article{1213023727,
author = {ADACHI, Yukinobu},
title = {Condition for global existence of holomorphic solutions of a certain differential equation on a Stein domain of $C^{n+1}$ and its applications},
journal = {J. Math. Soc. Japan},
volume = {53},
number = {3},
year = {2001},
pages = { 633-644},
language = {en},
url = {http://dml.mathdoc.fr/item/1213023727}
}
ADACHI, Yukinobu. Condition for global existence of holomorphic solutions of a certain differential equation on a Stein domain of $C^{n+1}$ and its applications. J. Math. Soc. Japan, Tome 53 (2001) no. 3, pp. 633-644. http://gdmltest.u-ga.fr/item/1213023727/