Local and global existence of a nonlocal equation with a singular integral drift term
Authors
Yingdong Lu
- IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, U.S.A..
Abstract
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.
Share and Cite
ISRP Style
Yingdong Lu, Local and global existence of a nonlocal equation with a singular integral drift term, Journal of Nonlinear Sciences and Applications, 15 (2022), no. 1, 61--66
AMA Style
Lu Yingdong, Local and global existence of a nonlocal equation with a singular integral drift term. J. Nonlinear Sci. Appl. (2022); 15(1):61--66
Chicago/Turabian Style
Lu, Yingdong. "Local and global existence of a nonlocal equation with a singular integral drift term." Journal of Nonlinear Sciences and Applications, 15, no. 1 (2022): 61--66
Keywords
- Singular integration
- nonlocal equations
MSC
References
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