Cauchy's problem for systems of linear differential equations with distributional coefficients
J. Ligęza (1975)
Colloquium Mathematicae
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Displaying similar documents to “Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices”
Cauchy's problem for systems of linear differential equations with distributional coefficients
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.
The Non Linear Cauchy Problem Of Operator Differential Equations
Marija Skendžić (1970)
Publications de l'Institut Mathématique
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The Cauchy Problem and Hadamard's Example
Jan Persson (1976)
Publications mathématiques et informatique de Rennes
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Integral formulas related to ovals.
Mozgawa, Witold (2009)
Beiträge zur Algebra und Geometrie
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Cauchy problem for some semilinear evolution equations
Rossella Agliardi (2003)
Mathematica Slovaca
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Another note on Cauchy-regular functions.
Raetz, Juerg (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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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 -laplacian type and investigate the propagation of analyticity of solutions for real analytic deta. When , his equation as the global real analytic solution for the real analytic initial data.
The regularity series of a Cauchy space.
Kent, Darrell C. (1984)
International Journal of Mathematics and Mathematical Sciences
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Algorithms for direct obtaining Cauchy's solutions for systems of differential equations of higer order
M. Stojanović (1974)
Matematički Vesnik
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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.
Cauchy problem in generalized Gevrey classes
Daniela Calvo (2003)
Banach Center Publications
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In this work we present a class of partial differential operators with constant coefficients, called multi-quasi-hyperbolic and defined in terms of a complete polyhedron. For them we obtain the well-posedness of the Cauchy problem in generalized Gevrey classes determined by means of the same polyhedron. We present some necessary and sufficient conditions on the operator in order to be multi-quasi-hyperbolic and give some examples.