Extension of formal power series solutions
Chiara Boiti, Mauro Nacinovich (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Chiara Boiti, Mauro Nacinovich (1996)
Rendiconti del Seminario Matematico della Università di Padova
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S. Oortwijn (1995)
Annales mathématiques Blaise Pascal
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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.
Richard Crew (1998)
Annales scientifiques de l'École Normale Supérieure
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Masaki Kashiwara (1995)
Mémoires de la Société Mathématique de France
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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.