We prove Gaussian upper and lower bounds for the fundamental solutions of a class of degenerate parabolic equations satisfying a weak Hörmander condition. The bound is independent of the smoothness of the coefficients and generalizes classical results for uniformly parabolic equations.
Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients / Lanconelli, Alberto; Pascucci, Andrea; Polidoro, Sergio. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - 20:4(2020), pp. 1399-1417. [10.1007/s00028-020-00560-7]
Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients
Polidoro, SergioMembro del Collaboration Group
2020
Abstract
We prove Gaussian upper and lower bounds for the fundamental solutions of a class of degenerate parabolic equations satisfying a weak Hörmander condition. The bound is independent of the smoothness of the coefficients and generalizes classical results for uniformly parabolic equations.
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