Wiener-Landis criterion for Kolmogorov-type operators
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 e...
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| creator | Kogoj, A. E Lanconelli, E Tralli, G |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.1701.01073 |
| format | Article |
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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
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regular for the Dirichlet problem related to a class of Kolmogorov-type
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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.</abstract><doi>10.48550/arxiv.1701.01073</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | Wiener-Landis criterion for Kolmogorov-type operators |
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