- 09-179 Slawomir Michalik
- On the multisummability of divergent solutions of linear partial differential equations with constant coefficients
Oct 1, 09
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Abstract. We consider the Cauchy problem for the general linear partial differential equations in two complex variables with constant coefficients. We obtain the necessary and sufficient conditions for the multisummability of formal solution in terms of analytic continuation with an appropriate growth condition of the Cauchy data.