Moser's estimates for degenerate Kolmogorov equations with non-negative divergence lower order coefficients

Francesca Anceschi; Sergio Polidoro; Maria Alessandra Ragusa

doi:10.1016/j.na.2019.07.001

paper

Moser's estimates for degenerate Kolmogorov equations with non-negative divergence lower order coefficients

arXiv:1901.07345 · doi:10.1016/j.na.2019.07.001

Abstract

We prove the local boundedness of the solutions to degenerate second order partial differential equations of Kolmogorov type with measurable coefficients in divergence form, under minimal integrability assumption on the lower order coefficients.

22 pages