Condition for global existence of holomorphic solutions of a certain differential equation on a Stein domain of Cn+1 and its applications

Yukinobu ADACHI

doi:10.2969/jmsj/05330633

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Home > Journals > J. Math. Soc. Japan > Volume 53 > Issue 3 > Article

July, 2001 Condition for global existence of holomorphic solutions of a certain differential equation on a Stein domain of

C^{n+1}

and its applications

Yukinobu ADACHI

J. Math. Soc. Japan 53(3): 633-644 (July, 2001). DOI: 10.2969/jmsj/05330633

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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.

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Yukinobu ADACHI. "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 53 (3) 633 - 644, July, 2001. https://doi.org/10.2969/jmsj/05330633