Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

Author:

Caffarelli Luis A.,Salsa Sandro,Silvestre Luis

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Athanasopoulos, I., Caffarelli, L.A.: Optimal regularity of lower dimensional obstacle problems. Zap. Nauchn. Semin. POMI 310 (Kraev. Zadachi Mat. Fiz. i Smezh. Vopr. Teor. Funkts. 35 [34]), 49–66, 226 (2004)

2. Athanasopoulos, I., Caffarelli, L.A., Salsa, S.: The structure of the free boundary for lower dimesional obstacle problems. To appear in Am. J. Math. (2007)

3. Bouchaud, J.P., Georges, A.: Anomalous diffusion in disordered media: Statistical mechanics, models and physical applications. Phys. Rep. 195(4–5), 127–293 (1990)

4. Caffarelli, L.A.: The obstacle problem revisited. J. Fourier Anal. Appl. 4(4–5), 383–402 (1998)

5. Colloq. Publ., Am. Math. Soc.;L.A. Caffarelli,1995

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