PHD MINICOURSE - Maria Medina (Universidad Autonoma de Madrid): Introduction to the non local equations




Room 1B, RM002: 13/09/21 10:00-12:00 and 15:00-17:00, 14/09/21 10:00-12:00 and 15:00-17:00, 15/09/21 10:00-12:00

1. The fractional Laplacian.
- Definitions, probabilistic motivation, limits in s.
- Basic properties: maximum principle, example of harmonic function.
2. Fractional Sobolev spaces.
- Sobolev inequality, compactness theorem, energy formulation.
- Problems in bounded domains. Neumann type boundary conditions.
3. Harmonic extension.

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