Date | Nov 06, 2018 |
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Speaker | 김현석 |

Dept. | 서강대학교 |

Room | 27-116 |

Time | 17:30-18:30 |

Abstract: We consider the Dirichlet problems for second-order linear elliptic equations with the first-order term given by a singular vector field b. The Calderon-Zygmund estimates for weak solutions in are well-known, provided that b is sufficiently regular, e.g., . In this lecture, we derive the Calderon-Zygmund estimates for weak solutions when the drift b belongs to the critical spaces , where is the spatial dimension. Here

denotes the standard weak- space. Moreover, optimality of such results will be discussed by means of concrete examples.

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