Displaying similar documents to “Hyperbolicity of two by two systems with two independent variables”

On The Cauchy Problem for Non Effectively Hyperbolic Operators, The Ivrii-Petkov-Hörmander Condition and the Gevrey Well Posedness

Nishitani, Tatsuo (2008)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 35L15, Secondary 35L30. In this paper we prove that for non effectively hyperbolic operators with smooth double characteristics with the Hamilton map exhibiting a Jordan block of size 4 on the double characteristic manifold the Cauchy problem is well posed in the Gevrey 6 class if the strict Ivrii-Petkov-Hörmander condition is satisfied.

Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations

Kunihiko Kajitani (2000)

Journées équations aux dérivées partielles

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We shall give the local in time existence of the solutions in Gevrey classes to the Cauchy problem for Kirhhoff equations of p -laplacian type and investigate the propagation of analyticity of solutions for real analytic deta. When p = 2 , his equation as the global real analytic solution for the real analytic initial data.

On an ODE Relevant for the General Theory of the Hyperbolic Cauchy Problem

Bernardi, Enrico, Bove, Antonio (2008)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 34E20, 35L80, 35L15. In this paper we study an ODE in the complex plane. This is a key step in the search of new necessary conditions for the well posedness of the Cauchy Problem for hyperbolic operators with double characteristics.