In this work we study some properties of the differential complex associated to a locally integrable (involutive) structure acting on forms with Gevrey coefficients. Among other results we prove that, for such complexes, Gevrey solvability follows from smooth solvability under the sole assumption of a regularity condition. As a consequence we obtain the proof of the Gevrey solvability for a first order linear PDE with real-analytic coefficients satisfying the Nirenberg-Treves condition (P).CNPq, Brazil[473333/2008-2
We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of ...
AbstractThis work is a continuation of [P.D. Cordaro, E.R. da Silva, Local solvability in corank one...
In any locally integrable structure a differential complex induced by the de Rham differential is na...
In this work we study some properties of the differential complex associated to a locally integrable...
In this work we study some properties of the differential complex associated to a locally integrable...
Abstract. In this work we study some properties of the differential complex associated to a locally ...
AbstractGiven a Gs-involutive structure, (M,V), a Gevrey submanifold X⊂M which is maximally real and...
We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of ...
In the last years many papers are concerned with the study of the global solvability and hypoellipti...
We prove for some singular kernels K(x, y) that viscosity solutions of the integrodifferential equat...
AbstractLet P be a linear partial differential operator with coefficients in the Gevrey class Gs(Tn)...
Let P be a linear partial differential operator with coefficients in the Gevrey class Gs. We prove f...
Let P be a linear partial differential operator with coefficients in the Gevrey class $G^s$. We prov...
AbstractIn this paper, we use Borel's procedure to construct Gevrey approximate solutions of an init...
We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of ...
We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of ...
AbstractThis work is a continuation of [P.D. Cordaro, E.R. da Silva, Local solvability in corank one...
In any locally integrable structure a differential complex induced by the de Rham differential is na...
In this work we study some properties of the differential complex associated to a locally integrable...
In this work we study some properties of the differential complex associated to a locally integrable...
Abstract. In this work we study some properties of the differential complex associated to a locally ...
AbstractGiven a Gs-involutive structure, (M,V), a Gevrey submanifold X⊂M which is maximally real and...
We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of ...
In the last years many papers are concerned with the study of the global solvability and hypoellipti...
We prove for some singular kernels K(x, y) that viscosity solutions of the integrodifferential equat...
AbstractLet P be a linear partial differential operator with coefficients in the Gevrey class Gs(Tn)...
Let P be a linear partial differential operator with coefficients in the Gevrey class Gs. We prove f...
Let P be a linear partial differential operator with coefficients in the Gevrey class $G^s$. We prov...
AbstractIn this paper, we use Borel's procedure to construct Gevrey approximate solutions of an init...
We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of ...
We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of ...
AbstractThis work is a continuation of [P.D. Cordaro, E.R. da Silva, Local solvability in corank one...
In any locally integrable structure a differential complex induced by the de Rham differential is na...