Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices
Hideo Yamahara (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “Cauchy problem for some semilinear evolution equations”
Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices
On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics
Marvin Zeman (1980)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The Cauchy problem for systems through the normal form of systems and theory of weighted determinant
Waichiro Matsumoto (1998-1999)
Séminaire Équations aux dérivées partielles
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The author propose what is the principal part of linear systems of partial differential equations in the Cauchy problem through the normal form of systems in the meromorphic formal symbol class and the theory of weighted determinant. As applications, he choose the necessary and sufficient conditions for the analytic well-posedness ( Cauchy-Kowalevskaya theorem ) and well-posedness (Levi condition).
The Non Linear Cauchy Problem Of Operator Differential Equations
Marija Skendžić (1970)
Publications de l'Institut Mathématique
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Cauchy's problem for systems of linear differential equations with distributional coefficients
J. Ligęza (1975)
Colloquium Mathematicae
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The Cauchy problem for the system of partial differential equations describing nonsimple thermoelasticity
Henryk Kołakowski, Jarosław Łazuka (2008)
Applicationes Mathematicae
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The aim of this paper is to derive a formula for the solution to the Cauchy problem for the linear system of partial differential equations describing nonsimple thermoelasticity. Some properties of the solution are also presented. It is a first step to study the nonlinear case.
The Cauchy Problem and Hadamard's Example
Jan Persson (1976)
Publications mathématiques et informatique de Rennes
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Cauchy problem for semilinear parabolic equations with initial data in H (R) spaces.
Francis Ribaud (1998)
Revista Matemática Iberoamericana
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We study local and global Cauchy problems for the Semilinear Parabolic Equations ∂U - ΔU = P(D) F(U) with initial data in fractional Sobolev spaces H (R). In most of the studies on this subject, the initial data U(x) belongs to Lebesgue spaces L(R) or to supercritical fractional Sobolev spaces H (R) (s > n/p). Our purpose is to study the intermediate cases (namely for 0 < s < n/p). We give some mapping properties for functions with polynomial...