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On the summability and Stokes phenomena for formal solutions of some PDEs --- An exact WKB approach

Le : 13/03/2009 13h30
Par : Yoshitsugu TAKEI (RIMS, Kyoto University, Japan)
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Résumé : In this talk we consider formal solutions of the initial value problem of some partial differential equations in the complex domain. Using Borel resummed WKB solutions of Schr\"odinger equations obtained via the Laplace transformation, we will discuss the summability and Stokes phenomena for these formal solutions of partial differential equations.