Add to ORKGWe study the Cauchy problem for overdetermined systems of linear partial differential operators with constant coefficients in some spaces of ultradifferentiable functions of class (M_p). We show that evolution is equivalent to the validity of a Phragmen-Lindeloef principle for entire and plurisubharmonic functions on some irreducible affine algebraic varieties. We find necessary and sufficient conditions for well-posedness and relate the hyperbolicity of a given system to that of its principal part
Given two systems $P = (Pj (D))_{j=1}^N$ and $Q = (Qj(D))_{j=1}^M$ of linear partial differential op...
For an algebraic curve $V$ in $\C^k \times \C^n$ it is investigated when it satisfies the Phragm\'en...
This article addresses the question of involutiveness and discusses the initial value problem for a ...
In this paper we study the Cauchy problem for overdetermined systems of linear partial differential ...
In this paper we study the Cauchy problem for overdetermined systems of linear partial differential ...
Given a system of linear partial differential operators with constant coefficients whose affine alge...
We give Hormander's type necessary and/or sufficient conditions for the existence of solutions of th...
We give Hormander's type necessary and/or sufficient conditions for the existence of solutions of th...
The existence of solutions of the Cauchy problem for (overdetermined) systems of linear partial diff...
By means of duality, the Fourier-Laplace transform and the Ehrenpreis fundamental principle, we stud...
We consider the Cauchy problem for overdetermined systems of linear partial differential operators w...
This paper deals with the (micro)local C ∞ hypoellipticity of the solutions of of some classes of ov...
We present a generalization of Gevrey classes, aiming at including the inhomogeneous Gevrey function...
For a complex polynomial P in two distinguished variables it is characterized when its zero variety ...
AbstractIn this paper, we explore new generalization for solution of overdetermined systems of compl...
Given two systems $P = (Pj (D))_{j=1}^N$ and $Q = (Qj(D))_{j=1}^M$ of linear partial differential op...
For an algebraic curve $V$ in $\C^k \times \C^n$ it is investigated when it satisfies the Phragm\'en...
This article addresses the question of involutiveness and discusses the initial value problem for a ...
In this paper we study the Cauchy problem for overdetermined systems of linear partial differential ...
In this paper we study the Cauchy problem for overdetermined systems of linear partial differential ...
Given a system of linear partial differential operators with constant coefficients whose affine alge...
We give Hormander's type necessary and/or sufficient conditions for the existence of solutions of th...
We give Hormander's type necessary and/or sufficient conditions for the existence of solutions of th...
The existence of solutions of the Cauchy problem for (overdetermined) systems of linear partial diff...
By means of duality, the Fourier-Laplace transform and the Ehrenpreis fundamental principle, we stud...
We consider the Cauchy problem for overdetermined systems of linear partial differential operators w...
This paper deals with the (micro)local C ∞ hypoellipticity of the solutions of of some classes of ov...
We present a generalization of Gevrey classes, aiming at including the inhomogeneous Gevrey function...
For a complex polynomial P in two distinguished variables it is characterized when its zero variety ...
AbstractIn this paper, we explore new generalization for solution of overdetermined systems of compl...
Given two systems $P = (Pj (D))_{j=1}^N$ and $Q = (Qj(D))_{j=1}^M$ of linear partial differential op...
For an algebraic curve $V$ in $\C^k \times \C^n$ it is investigated when it satisfies the Phragm\'en...
This article addresses the question of involutiveness and discusses the initial value problem for a ...