Local and Global Existence of A Nonlocal Equation with A Singular Integral Drift Term

2021/03/19 by Lu, Yingdong
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.10883

Abstract

We study an initial value problem with fractional Laplacian and a singular drift term, and obtain local and global existence theorems similar to the results in Jourdain et al.(2005).

Related

• Periodic solutions for one-dimensional nonlinear nonlocal problem with drift including singular nonlinearities
• Nonlocal problems with singular nonlinearity
• Nonlocal diffusion equations with dynamical boundary conditions
• Recent progresses in the theory of nonlinear nonlocal problems
• Hölder estimates for nonlocal-diffusion equations with drifts