WIENER-LANDIS CRITERION FOR KOLMOGOROV-TYPE OPERATORS

被引：9
作者：
Kogoj, Alessia E. [1 ]
Lanconelli, Ermanno [2 ]
Tralli, Giulio [3 ]
机构：
[1] Univ Urbino Carlo Bo, Dipartimento Sci Pure & Applicate DiSPeA, Piazza Repubbl 13, I-61029 Urbino, PU, Italy
[2] Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, Italy
[3] Sapienza Univ Roma, Dipartimento Matemat, Piazzale Aldo Moro 5, I-00185 Rome, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 05期
关键词：
Kolmogorov operators; potential analysis; Perron-Wiener solution; boundary regularity; Wiener test; FUNDAMENTAL SOLUTION; PARABOLIC EQUATIONS; DIRICHLET PROBLEM; HEAT-EQUATION; COEFFICIENTS;
D O I：
10.3934/dcds.2018102
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichlet problem related to a class of Kolmogorov-type equations. Our criterion is inspired by two classical criteria for the heat equation: the Evans-Gariepy's Wiener test, and a criterion by Landis expressed in terms of a series of caloric potentials.
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收藏
页码：2467 / 2485
页数：19
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