Special Session 123: New trends in elliptic and parabolic PDEs

Harnack inequality for parabolic equations in double-divergence form with singular lower order coefficients
Seick Kim
Yonsei University
Korea
Co-Author(s):    Istvan Gyongy
Abstract:
This paper investigates the Harnack inequality for nonnegative solutions to second-order parabolic equations in double divergence form. We impose conditions where the principal coefficients satisfy the Dini mean oscillation condition in , while the drift and zeroth-order coefficients belong to specific Morrey classes. Our analysis contributes to advancing the theoretical foundations of parabolic equations in double divergence form, including Fokker-Planck-Kolmogorov equations for probability densities.