We consider the Cauchy problem for overdetermined systems of linear partial differential operators, when the manifold where we give the initial data is reduced to a point. We give a formal power series \phi at x_0 solution of the system as Cauchy datum, and we look for a smooth solution of the system having \phi as Taylor series in x_0.

### Extension of formal power series solutions

#### Abstract

We consider the Cauchy problem for overdetermined systems of linear partial differential operators, when the manifold where we give the initial data is reduced to a point. We give a formal power series \phi at x_0 solution of the system as Cauchy datum, and we look for a smooth solution of the system having \phi as Taylor series in x_0.
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Boiti, Chiara; M., Nacinovich
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/1198347
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