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 A.;Pascucci A.
;
Polidoro S.
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.
Lanconelli A.; Pascucci A.; Polidoro S.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/783606
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