Date | Jun 21, 2019 |
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Speaker | Lihe Wang |

Dept. | University of Iowa, USA |

Room | 27-116 |

Time | 14:00-16:00 |

Regularity theory for elliptic and parabolic equations in non-divergence form

* 6월19일 17:00-18:00 수요일 DeGiorgi-Nash-Moser Theory for Viscosity Solutions

초록: We discuss Local Estimates for Solutions, and More Estimates for subsolutions,

Local Estimates for Supersolutions, Harnack Inequality and General equations

* 6월20일 10:00-12:00 목요일 Aleksandrov-Backelman-Pucci Maximum Principle

초록: We discuss Viscosity Solutions and Aleksandrov-Backelman-Pucci Maximum Principle

* 6월20일 14:00-16:00 목요일 Krylov-Safanov Theory

초록: We discuss Basic Lemma and Harnack Inequality and H¨older Continuity

* 6월21일 10:00-12:00 금요일 Caldron-Zgymund Theory

초록: We discuss W2,p estimates

* 6월21일 14:00-16:00 금요일 Harnack Inequality up to the Boundary & Nonlinear Equations and Boundary Estimates

초록: We discuss Harmonic Measure, Green’s Function and The Main Comparison

and we discuss Nonlinear Equations and Boundary Estimates

We present regularity theory for elliptic and parabolic equations in nondivergence form including ABP maximum principle, Krylov-Safonov theorem, Evans-Krylov theorem and W2,p estimates.

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