Short time existence and smoothness of the nonlocal mean curvature flow of graphs

Author:

Attiogbe Anoumou,Fall Mouhamed MoustaphaORCID,Weth Tobias

Funder

Alexander von Humboldt-Stiftung

Deutscher Akademischer Austauschdienst

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference24 articles.

1. Abatangelo, N., Valdinoci, E.: A notion of nonlocal curvature. Numer. Funct. Anal. Optim. 35, 793–815 (2014)

2. Abels, H., Kassmann, M.: The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Osaka J. Math. 46, 661–683 (2009)

3. Attiogbe, A., Fall, M.M., Thiam, E.H.A.: Nonlocal diffusion of smooth sets. Math. Eng. 4(2), 22, Paper No. 009 (2022)

4. Bass, R.F.: Regularity results for stable-like operators. J. Funct. Anal. 257, 2693–2722 (2009)

5. Blumenthal, R.M., Getoor, R.K.: Some theorems on stable processes. Trans. Am. Math. Soc. 95, 263–273 (1960)

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