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- Title
Local and global existence of a nonlocal equation with a singular integral drift term.
- Authors
Yingdong Lu
- 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 Calderón-Zygmund operator in Lp and Lipschitz spaces, we obtain local and global existence theorems.
- Subjects
INTEGRAL equations; CALDERON-Zygmund operator; LIPSCHITZ spaces; SINGULAR integrals; INITIAL value problems
- Publication
Journal of Nonlinear Sciences & Applications (JNSA), 2022, Vol 15, Issue 1, p61
- ISSN
2008-1898
- Publication type
Article
- DOI
10.22436/jnsa.015.01.05