The Neumann problem for the fractional Laplacian

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• Xavier Ros-Oton (Institució Catalana de Recerca i Estudis Avançats (ICREA), Universitat de Barcelona)
• Monday 21 February 2022, 11:30-12:00
• Seminar Room 1, Newton Institute.

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FD2W01 - Deterministic and stochastic fractional differential equations and jump processes

We study a Neumann problem for the fractional Laplacian. We start with some basic properties, such as its variational formulation, probabilistic interpretation, existence of solutions, and then turn our attention to their regularity. We will present our main new boundary regularity result, and list some questions that remain open. This is a joint work with A. Audrito and J.C. Felipe-Navarro.

This talk is part of the Isaac Newton Institute Seminar Series series.

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