Displaying similar documents to “Extension of formal power series solutions”

Analytic convexity

Aldo Andreotti, Mauro Nacinovich (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

The overdetermined Cauchy problem

Chiara Boiti, Mauro Nacinovich (1997)

Annales de l'institut Fourier

Similarity:

We consider the (characteristic and non-characteristic) Cauchy problem for a system of constant coefficients partial differential equations with initial data on an affine subspace of arbitrary codimension. We show that evolution is equivalent to the validity of a principle on the complex characteristic variety and we study the relationship of this condition with the one introduced by Hörmander in the case of scalar operators and initial data on a hypersurface.