International audienceIn this paper we study the degenerate Cauchy-Riemann equation in Gevrey classes. We first prove the local solvability in Gevrey classes of functions and ultra-distributions. Using microlocal techniques with Fourier integral operators of infinite order and microlocal energy estimates, we prove a result of propagation of singularities along one dimensional bicharacteristics
The authors study Fourier integral operators (FIO) with amplitude of infinite order (i.e., amplitude...
AbstractGiven a Gs-involutive structure, (M,V), a Gevrey submanifold X⊂M which is maximally real and...
This paper is devoted to proving the global solvability of the Cauchy problem for the Kirchhoff equa...
After a short survey on Gevrey functions and ultradistributions, we present the inhomogeneous Gevrey...
Using the theory of the second microlocalization, we prove a theorem on propagation of Gevrey singul...
In this paper we study the local solvability in Gevrey classes for degenerate parabolic operators of...
The authors consider classical analytic pseudodifferential operators of the form $P(t,x,D_t,D_x)=(tD...
We study the Gevrey singularities of solutions of microhyperbolic equations using exponential weight...
In this paper we consider partial differential operators of the type P(x, D)= P m(D)+Q(x, D), where ...
The aim of this paper is to investigate the phenomena of microlocal smoothing effect for Schrödinger...
The problem of the wave front sets of solutions of differential and pseudodifferential operators has...
The authors consider the following problem: For a given nonsolvable differential operator $P$, chara...
AbstractIn this paper, we establish the Gevrey regularity of solutions for a class of degenerate Mon...
We present a generalization of Gevrey classes, aiming at including the inhomogeneous Gevrey function...
AbstractWe discuss the microlocal Gevrey smoothing effect for the Schrödinger equation with variable...
The authors study Fourier integral operators (FIO) with amplitude of infinite order (i.e., amplitude...
AbstractGiven a Gs-involutive structure, (M,V), a Gevrey submanifold X⊂M which is maximally real and...
This paper is devoted to proving the global solvability of the Cauchy problem for the Kirchhoff equa...
After a short survey on Gevrey functions and ultradistributions, we present the inhomogeneous Gevrey...
Using the theory of the second microlocalization, we prove a theorem on propagation of Gevrey singul...
In this paper we study the local solvability in Gevrey classes for degenerate parabolic operators of...
The authors consider classical analytic pseudodifferential operators of the form $P(t,x,D_t,D_x)=(tD...
We study the Gevrey singularities of solutions of microhyperbolic equations using exponential weight...
In this paper we consider partial differential operators of the type P(x, D)= P m(D)+Q(x, D), where ...
The aim of this paper is to investigate the phenomena of microlocal smoothing effect for Schrödinger...
The problem of the wave front sets of solutions of differential and pseudodifferential operators has...
The authors consider the following problem: For a given nonsolvable differential operator $P$, chara...
AbstractIn this paper, we establish the Gevrey regularity of solutions for a class of degenerate Mon...
We present a generalization of Gevrey classes, aiming at including the inhomogeneous Gevrey function...
AbstractWe discuss the microlocal Gevrey smoothing effect for the Schrödinger equation with variable...
The authors study Fourier integral operators (FIO) with amplitude of infinite order (i.e., amplitude...
AbstractGiven a Gs-involutive structure, (M,V), a Gevrey submanifold X⊂M which is maximally real and...
This paper is devoted to proving the global solvability of the Cauchy problem for the Kirchhoff equa...