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Daily Overview |
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PDE3: Partial Differential Equations Location: G227 Session Chair: Simon Markfelder Session Chair: Marlies Pirner | |
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Boundary regularity for nonlocal operators 1: Universität Bielefeld, Germany; 2: Universitat de Barcelona, Spain Nonlocal operators like the fractional Laplacian play a prominent role in physical models like the Boltzmann equation. Associated nonlocal Dirichlet problems and the regularity of their solutions have been extensively studied in the past decades. We establish optimal boundary regularity for the most general class of (linear and translation invariant) nonlocal elliptic operator of fractional order. This talk is based on a joint article with Xavier Ros-Oton. | |
