A Global Lower Bound for the Fundamental Solution of Kolmogorov-Fokker-Planck Equations
- Cite this article as:
- Polidoro, S. Arch Rational Mech Anal (1997) 137: 321. doi:10.1007/s002050050031
- 92 Views
where the ai, j's and their first derivatives are Hölder continuous functions and 0 < p0 < N. The bound will follow from a local estimate of Γ and a Harnack inequality for non-negative solutions of Lu = 0, by exploiting the invariance of the Harnack inequality with respect to suitable translation and dilation groups. For non-degenerate parabolic operators, our methods and results generalize those of Aronson & Serrin .