On the existence of holomorphic solutions of the Cauchy problem for non linear partial differential equations

Raymond Gérard,Hidetoshi Tahara

doi:10.1007/978-3-322-80284-2_9

On the existence of holomorphic solutions of the Cauchy problem for non linear partial differential equations

Raymond Gérard, Hidetoshi Tahara

https://doi.org/10.1007/978-3-322-80284-2_9

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Publication Date: Jan 1, 1996

Affiliation: Institut de Recherche Mathématique Avancée, Sophia University

#Linear Partial Differential Equations #Convergent Power Series Solution + Show 8 more

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Abstract

In 1968, Artin [2] has proved that if a sytem of analytic equations has a formal power series solution then it has a convergent power series solution. In this chapter, we are proving similar results for the Cauchy problem for non linear partial differential equations.

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