Kinetic maximal $L^{p}$-regularity for nonlocal Kolmogorov equation and application

AMS: 35B45, 42B20, 60J75, 47G30 DOI: 10.21538/0134-4889-2025-31-1-210-227 We study the linear and nonlinear variable coefficients Kolmogorov equations. The equations include the abstract operator $A=A\left(x\right) $ in a Fourier type Banach space $E$ and convolution terms. Here, the kinetic maximal $L^{p}$-regularity for the linear equat\i on is derived in terms of $E$-valued