Math Colloquia

Date | Sep 26, 2024 |
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Speaker | 김민현 |

Dept. | 한양대학교 |

Room | 129-101 |

Time | 16:00-17:00 |

Nonlocal equations, often modeled using the fractional Laplacian, have received significant attention in recent years. In this talk, we will briefly overview how the classical regularity theory for second-order (elliptic) PDEs (in divergence form) has been extended to fractional-order nonlocal equations. We will explore the Schauder, De Giorgi–Nash–Moser, Morrey–Campanato, and Calderón–Zygmund theories, and present some open problems in these fields.

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