Local and global existence of a nonlocal equation with a singular integral drift term
نویسندگان
چکیده
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 term is generalization existing results. Making use some important boundedness properties Calder\'on-Zygmund operator \(L_p\) Lipschitz spaces, we obtain local global existence theorems.
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ژورنال
عنوان ژورنال: The Journal of Nonlinear Sciences and Applications
سال: 2021
ISSN: ['2008-1898', '2008-1901']
DOI: https://doi.org/10.22436/jnsa.015.01.05