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Displaying similar documents to “On existence in the Cauchy problem for the biharmonic equation”

On 1-regular ordinary differential operators

Grzegorz Łysik (2000)

Annales Polonici Mathematici

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Solutions to singular linear ordinary differential equations with analytic coefficients are found in the form of Laplace type integrals.

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.