In this note we review some recent results in [64, 95, 96] concerning necessary and sufficient conditions for the regularity of boundary points relatively to the Dirichlet problem for linear degenerate-parabolic operators with well-behaved fundamental solutions. The main focus is on Wiener-type criteria for a class of operators whose degeneracy is controlled by Hormander vector fields
Abstract. We prove weak and strong maximum principles, including a Hopf lemma, for C2 subsolutions t...
Abstract Several abstract model problems of elliptic and parabolic type with inhomogeneous initial a...
We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichl...
In this note we review some recent results in [64, 95, 96] concerning necessary and sufficient cond...
In this note we review some recent results in [64, 95, 96] concerning necessary and sufficient condi...
We develop a potential theory approach for some degenerate parabolic operators in non-divergence for...
We characterise regular boundary points of the parabolic p-Laplacian in terms of a family of barrier...
In this paper we prove a Wiener-type characterization of boundary regularity, in the spirit of a cla...
AbstractIn this paper we give some geometric criteria (analogous to Wiener's, Poincaré's and Zaremba...
In this note we prove a Wiener criterion of regularity of boundary points for the Dirichlet problem ...
We study the boundary regularity of solutions to the porous medium equation in the degenerate range ...
Abstract. For some class of nonuniformly degenerated elliptic equations of second order, a necessary...
summary:Several abstract model problems of elliptic and parabolic type with inhomogeneous initial an...
Course description The issue of regularity has obviously played a central role in the theory of Part...
We show a result of maximal regularity in spaces of H¨older continuous function, concerning linear ...
Abstract. We prove weak and strong maximum principles, including a Hopf lemma, for C2 subsolutions t...
Abstract Several abstract model problems of elliptic and parabolic type with inhomogeneous initial a...
We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichl...
In this note we review some recent results in [64, 95, 96] concerning necessary and sufficient cond...
In this note we review some recent results in [64, 95, 96] concerning necessary and sufficient condi...
We develop a potential theory approach for some degenerate parabolic operators in non-divergence for...
We characterise regular boundary points of the parabolic p-Laplacian in terms of a family of barrier...
In this paper we prove a Wiener-type characterization of boundary regularity, in the spirit of a cla...
AbstractIn this paper we give some geometric criteria (analogous to Wiener's, Poincaré's and Zaremba...
In this note we prove a Wiener criterion of regularity of boundary points for the Dirichlet problem ...
We study the boundary regularity of solutions to the porous medium equation in the degenerate range ...
Abstract. For some class of nonuniformly degenerated elliptic equations of second order, a necessary...
summary:Several abstract model problems of elliptic and parabolic type with inhomogeneous initial an...
Course description The issue of regularity has obviously played a central role in the theory of Part...
We show a result of maximal regularity in spaces of H¨older continuous function, concerning linear ...
Abstract. We prove weak and strong maximum principles, including a Hopf lemma, for C2 subsolutions t...
Abstract Several abstract model problems of elliptic and parabolic type with inhomogeneous initial a...
We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichl...