Weighted Sobolev regularity and rate of approximation of the obstacle problem for the integral fractional Laplacian.
Resumen:
We obtain regularity results in weighted Sobolev spaces for the solution of the obstacle problem for the integral fractional Laplacian (−Δ)s in a Lipschitz bounded domain Ω⊂Rn satisfying the exterior ball condition. The weight is a power of the distance to the boundary ∂Ω of Ω that accounts for the singular boundary behavior of the solution for any 0
| 2019 | |
| Juan Pablo Borthagaray ha sido financiado en parte por la subvención DMS-1411808 de la NSF. | |
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Obstacle problem Free boundaries Finite elements Fractional diffusion Weighted Sobolev spaces Graded meshes |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/47766 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
