Title of article :
On the multisummability of divergent solutions of linear partial differential equations with constant coefficients
Author/Authors :
S?awomir Michalik، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
We consider the Cauchy problem for general linear partial differential equations in two complex variables with constant coefficients. We obtain necessary and sufficient conditions for the multisummability of formal solutions in terms of analytic continuation properties and growth estimates of the Cauchy data.
Keywords :
Linear PDE with constant coefficientsFormal power seriesBorel summabilityMultisummability
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS