Gaussian lower bounds for non-homogeneous Kolmogorov equations with\n measurable coefficients

2017/04/24 by Alberto Lanconelli, Lanconelli, Alberto, Andrea Pascucci +3 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1704.07307

openalex publication_date 2017/04/24 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We prove Gaussian upper and lower bounds for the fundamental solutions of a\nclass of degenerate parabolic equations satisfying a weak Hormander condition.\nThe bound is independent of the smoothness of the coefficients and generalizes\nclassical results for uniformly parabolic equations\n

Cited by

• Nash's G bound for the Kolmogorov equation

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