Wiener-type tests from a two-sided Gaussian bound

[1]  F. Uguzzoni.  Estimates of the Green function for X-elliptic operators , 2015 .

[2]  Yu. A. Alkhutov,et al.  Necessary and sufficient condition for the stabilization of the solution of a mixed problem for nondivergence parabolic equations to zero , 2014 .

[3]  G. Tralli,et al.  Wiener criterion for X-elliptic operators , 2014, 1408.6789.

[4]  A. Martynova,et al.  Necessary and sufficient conditions for the stabilization of a solution to the Dirichlet problem for parabolic equation , 2013 .

[5]  K. Nystrom,et al.  Non-divergence form parabolic equations associated with non-commuting vector fields: Boundary behavior of nonnegative solutions , 2010, 1008.5082.

[6]  I. Munive.  Boundary Behavior of Non-Negative Solutions of the Heat Equation in Sub-Riemannian Spaces , 2010, 1005.4239.

[7]  Giuseppe Di Fazio,et al.  Covering theorems, inequalities on metric spaces and applications to PDE’s , 2008 .

[8]  E. Lanconelli.  Potential analysis for a class of diffusion equations: a Gaussian bounds approach , 2007 .

[9]  L. Brandolini,et al.  Schauder estimates for parabolic nondivergence operators of Hörmander type , 2007 .

[10]  Francesco Uguzzoni,et al.  Fundamental solutions for non-divergence form operators on stratified groups , 2003 .

[11]  Laurent Saloff-Coste,et al.  Aspects of Sobolev-type inequalities , 2001 .

[12]  I. Mamedov.  Boundary Properties of Solutions to Second-Order Parabolic Equations in Domains with Special Symmetry , 2001 .

[13]  Richard L. Wheeden,et al.  Sobolev and isoperimetric inequalities for degenerate metrics , 1994 .

[14]  E. Fabes,et al.  Uniqueness in the dirichlet problem for some elliptic operators with discontinuous coefficients , 1993 .

[15]  A. Grigor’yan.  THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS , 1992 .

[16]  D. W. Stroock,et al.  Opérateurs uniformément sous-elliptiques sur les groupes de Lie , 1991 .

[17]  E. Fabes,et al.  Wiener’s criterion for divergence form parabolic operators with $C^1$-Dini continuous coefficients , 1989 .

[18]  E. Lanconelli,et al.  Wiener’s criterion for parabolic equations with variable coefficients and its consequences , 1988 .

[19]  Wolfhard Hansen,et al.  The Dirichlet problem for sublaplacians on nilpotent Lie groups —Geometric criteria for regularity , 1987 .

[20]  Paolo Negrini,et al.  Wiener criterion for a class of degenerate elliptic operators , 1987 .

[21]  H. Hueber.  Wiener's criterion in potential theory with applications to nilpotent lie groups , 1985 .

[22]  S. Éidel'man,et al.  Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications , 1984 .

[23]  Ronald F. Gariepy,et al.  Wiener's criterion for the heat equation , 1982 .

[24]  Ermanno Lanconelli.  Sul confronto della regolarità dei punti di frontiera rispetto ad operatori lineari parabolici diversi , 1977 .

[25]  Ermanno Lanconelli.  Sul problema di Dirichlet per equazioni paraboliche del secondo ordine a coefficienti discontinui , 1975 .

[26]  Ermanno Lanconelli.  Sul problema di Dirichlet per l'equazione del calore , 1973 .

[27]  E. Effros,et al.  Applications of Choquet simplexes to elliptic and parabolic boundary value problems , 1970 .

[28]  D. Aronson,et al.  Bounds for the fundamental solution of a parabolic equation , 1967 .

[29]  Bent Fuglede,et al.  On the theory of potentials in locally compact spaces , 1960 .

[30]  K. Nyström,et al.  A Carleson-type estimate in Lipschitz type domains for non-negative solutions to Kolmogorov operators , 2013 .

[31]  K. Nyström,et al.  A boundary estimate for non-negative solutions to Kolmogorov operators in non-divergence form , 2012 .

[32]  L. Brandolini,et al.  Non-divergence equations structured on Hörmander vector fields: heat kernels and Harnack inequalities , 2010 .

[33]  A. Bonfiglioli,et al.  Harnack inequality for non-divergence form operators on stratified groups , 2007 .

[34]  M. Cerutti,et al.  Uniqueness for second-order parabolic equations with discontinuous coefficients , 2007 .

[35]  L. Escauriaza.  BOUNDS FOR THE FUNDAMENTAL SOLUTION OF ELLIPTIC AND PARABOLIC EQUATIONS IN NONDIVERGENCE FORM , 2000 .

[36]  C. Kenig.  Potential theory of non-divergence form elliptic equations , 1993 .

[37]  E. Landis,et al.  Qualitative Theory of Second Order Linear Partial Differential Equations , 1991 .

[38]  F. Segala,et al.  Estimates of the fundamental solution and Wiener's criterion for the heat equation on the Heisenberg group , 1990 .

[39]  D. Jerison,et al.  Estimates for the heat kernel for a sum of squares of vector fields , 1986 .

[40]  Ermanno Lanconelli.  Sul modulo di continuità alla frontiera della soluzione del problema di Dirichlet relativo ad una classe di operatori parabolici , 1975 .

[41]  B. Pini.  Sulla soluzione generalizzata di Wiener per il primo problema di valori al contorno nel caso parabolico , 1954 .

[42]  Compositio Mathematica,et al.  Zur ersten Randwertaufgabe der Wärmeleitungsgleichung , 1935 .