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Displaying similar documents to “Overdetermined hyperbolic systems on l.e. convex sets”

The overdetermined Cauchy problem

Chiara Boiti, Mauro Nacinovich (1997)

Annales de l'institut Fourier

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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.

On the Jacobian criterion of formal smoothness.

Antonio G. Rodicio (1989)

Publicacions Matemàtiques

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We give a short proof of the Jacobian criterion of formal smoothness using the Lichtenbaum-Schlessinger cotangent complex.