Condition for global existence of holomorphic solutions of a certain differential equation on a Stein domain of \bm{C}n+1 and its applications

Yukinobu ADACHI

doi:10.2969/jmsj/05330633

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Condition for global existence of holomorphic solutions of a certain differential equation on a Stein domain of \bm{C}ⁿ⁺¹ and its applications

Yukinobu ADACHI

Author information

Keywords: global solutions of PDE, Stein holomorphic family

JOURNAL FREE ACCESS

2001 Volume 53 Issue 3 Pages 633-644

DOI https://doi.org/10.2969/jmsj/05330633

Details

Abstract

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.

Content from these authors

This article cannot obtain the latest cited-by information.

Favorites & Alerts

Corresponding author

Register with J-STAGE for free!