On the gradient estimates for evolution operators associated to Kolmogorov operators

2013/01/18 by Luciana Angiuli, Angiuli, Luciana
Mathematics · #35K10 35K15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP #msc:35K10 #msc:35K15

paper · pdf · doi:10.48550/arxiv.1301.4336

arxiv created 2013/01/18 · openalex publication_date 2013/01/18 · arxiv updated 2013/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine sufficient conditions for the occurrence of a pointwise gradient estimate for the evolution operators associated to nonautonomous second order parabolic operators with (possibly) unbounded coefficients. Moreover we exhibit a class of operators which satisfy our conditions.

Citations

• Hypercontractivity and asymptotic behaviour in nonautonomous Kolmogorov equations

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