Geodesic
Local and global existence of a nonlocal equation with a singular integral drift term
Lu, Yingdong 1
1 IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, U.S.A.
Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 1, p. 61-66.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We study an initial value problem with fractional Laplacian and a singular integral drift term. This equation quantifies fractal interfaces in statistical mechanics. The singularity of the drift term is a generalization of existing results. Making use of some important boundedness properties of Calder\'on-Zygmund operator in $L_p$ and Lipschitz spaces, we obtain local and global existence theorems.
DOI : 10.22436/jnsa.015.01.05
Classification : 35Q82, 35C15
Keywords: Singular integration, nonlocal equations

Lu, Yingdong  1

1 IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, U.S.A. 
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Lu, Yingdong . Local and global existence of a nonlocal equation with a singular integral drift term. Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 1, p. 61-66. doi : 10.22436/jnsa.015.01.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.015.01.05/

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