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Global existence of analytic solutions to the Cauchy problem in a complex domain
Authors:M. Frigon
Affiliation:(1) Département de mathématiques et de statistique, Université de Montréal, C.P. 6128, succ. Centre-Ville, Montréal, Québec, H3C 3J7, Canada
Abstract:
We present results on the global existence of analytic solutions to the Cauchy problem in starshaped or convex complex domains. No growth conditions are imposed. Our results rely on a notion of solution-tube that we introduce. à la mémoire de Jean Leray
Keywords:Primary 34M05  Secondary 34A12
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