Quantitative estimates for flows of Lipschitz and Dini singular vector fields
Abstract
In this paper, we obtain quantitative estimates of regular Lagrangian flows associated to vector fields which can be written as convolution of a “Lipschitz type” singular kernel of polynomial decay $ d+\alpha-1 $ at the origin convoluted with a summable-in-time and Besov in space function, where $ \alpha\in(0,1) $. Moreover, we prove the same result for vector fields which can be written as convolution of a “Dini type” singular kernels of fundamental decay $ d $ at origin with a summable function.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Geometric Analysis and Curvature Flows
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Discrete and Continuous Dynamical Systems
- Volume
- 52
- Issue
- 0
- Pages
- 476–487
- Publication date
- 1 January 2026
- Language
- EN