One aim of the papers of Stefano Benvenuti has been to reduce the gap between known sufficient conditions for the well posedness, e.g. symmetrizability of characteristic matrix, and necessary conditions, such as weak hyperbolicity. In his papers Benvenuti Benvenuti has given several necessary conditions for well posedness of the Cauchy problem for a class of first order, hyperbolic systems with multiple characteristics
This paper is concerned with the initial value problem for a strictly hyperbolic $n\times n$ system ...
The propagation of analyticity for sufficiently smooth solutions to either strictly hyperbolic, or s...
In this paper we prove a well-posedness result for the Cauchy problem. We study a class of first ord...
AbstractIn the present paper we give necessary conditions for the well-posedness of the Cauchy probl...
AbstractWe consider the Cauchy problem for first order hyperbolic systems that have characteristic p...
We consider a linear system of partial differential equations, whose principal symbol is hyperbolic ...
In this work, we study constant-coefficient first order systems of partial differential equations an...
This monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems wit...
A choice of first-order variables for the characteristic problem of the linearized Einstein equation...
In this paper we study first order hyperbolic systems of any order with multiple characteristics (we...
We consider the Cauchy problem in L 2 for first order system. A necessary condition is that the syst...
We study strong hyperbolicity of first order partial differential equationsfor systems with differen...
We consider the well-posedness of the Cauchy problem in Gevrey spaces for N×N first-order weakly hyp...
This paper is concerned with the well posedness of the Cauchy problem for first order symmetric hype...
In this paper we prove that the Levi conditions stated by Vaillant are sufficient in order the Cauch...
This paper is concerned with the initial value problem for a strictly hyperbolic $n\times n$ system ...
The propagation of analyticity for sufficiently smooth solutions to either strictly hyperbolic, or s...
In this paper we prove a well-posedness result for the Cauchy problem. We study a class of first ord...
AbstractIn the present paper we give necessary conditions for the well-posedness of the Cauchy probl...
AbstractWe consider the Cauchy problem for first order hyperbolic systems that have characteristic p...
We consider a linear system of partial differential equations, whose principal symbol is hyperbolic ...
In this work, we study constant-coefficient first order systems of partial differential equations an...
This monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems wit...
A choice of first-order variables for the characteristic problem of the linearized Einstein equation...
In this paper we study first order hyperbolic systems of any order with multiple characteristics (we...
We consider the Cauchy problem in L 2 for first order system. A necessary condition is that the syst...
We study strong hyperbolicity of first order partial differential equationsfor systems with differen...
We consider the well-posedness of the Cauchy problem in Gevrey spaces for N×N first-order weakly hyp...
This paper is concerned with the well posedness of the Cauchy problem for first order symmetric hype...
In this paper we prove that the Levi conditions stated by Vaillant are sufficient in order the Cauch...
This paper is concerned with the initial value problem for a strictly hyperbolic $n\times n$ system ...
The propagation of analyticity for sufficiently smooth solutions to either strictly hyperbolic, or s...
In this paper we prove a well-posedness result for the Cauchy problem. We study a class of first ord...
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