Add to ORKG2002 Mathematics Subject Classification: 35S05In this paper we deal with a class of semilinear anisotropic partial differential equations. The nonlinearity is allowed to be Gevrey of a certain order both in x and ∂au, with an additional condition when it is GScr in the (∂au)-variables for a critical index scr. For this class of equations we prove the local solvability in Gevrey classes.The author is supported by NATO grant PST.CLG.97934
We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of ...
The author provide a comprehensive survey on the problem of the local solvability of linear partial ...
Let P be a linear operator with s-Gevrey coefficents defined on the torus; if P is s-globally hypoel...
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...
2002 Mathematics Subject Classification: 35G20, 47H30We introduce scales of Banach spaces of anisotr...
In the last years many papers are concerned with the study of the global solvability and hypoellipti...
AbstractGiven a Gs-involutive structure, (M,V), a Gevrey submanifold X⊂M which is maximally real and...
Let P be a linear partial differential operator with coefficients in the Gevrey class Gs(Tn) where T...
AbstractWe propose a unified functional analytic approach to study the uniform analytic-Gevrey regul...
AbstractIn this paper we consider the problem of global Gevrey solvability for a class of sublaplaci...
AbstractLet P be a linear partial differential operator with coefficients in the Gevrey class Gs(Tn)...
AbstractLet P be a linear partial differential operator with coefficients in the Gevrey class Gs(Tn)...
In this paper we study the local solvability in Gevrey classes for degenerate parabolic operators of...
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 ...
The author provide a comprehensive survey on the problem of the local solvability of linear partial ...
Let P be a linear operator with s-Gevrey coefficents defined on the torus; if P is s-globally hypoel...
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...
2002 Mathematics Subject Classification: 35G20, 47H30We introduce scales of Banach spaces of anisotr...
In the last years many papers are concerned with the study of the global solvability and hypoellipti...
AbstractGiven a Gs-involutive structure, (M,V), a Gevrey submanifold X⊂M which is maximally real and...
Let P be a linear partial differential operator with coefficients in the Gevrey class Gs(Tn) where T...
AbstractWe propose a unified functional analytic approach to study the uniform analytic-Gevrey regul...
AbstractIn this paper we consider the problem of global Gevrey solvability for a class of sublaplaci...
AbstractLet P be a linear partial differential operator with coefficients in the Gevrey class Gs(Tn)...
AbstractLet P be a linear partial differential operator with coefficients in the Gevrey class Gs(Tn)...
In this paper we study the local solvability in Gevrey classes for degenerate parabolic operators of...
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 ...
The author provide a comprehensive survey on the problem of the local solvability of linear partial ...
Let P be a linear operator with s-Gevrey coefficents defined on the torus; if P is s-globally hypoel...