Hypercontractivity and asymptotic behaviour in nonautonomous Kolmogorov equations

2012/03/06 by Luciana Angiuli, Angiuli, L., Luca Lorenzi +3
Computer Science · Engineering · Mathematics · #35B40 #35K10 #35K15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1203.1280

openalex publication_date 2012/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a class of nonautonomous second order parabolic equations with unbounded coefficients defined in I×\R^d, where I is a right-halfline. We prove logarithmic Sobolev and Poincaré inequalities with respect to an associated evolution system of measures \μ_t: t ∈ I\, and we deduce hypercontractivity and asymptotic behaviour results for the evolution operator G(t,s).

Citations

• Logarithmic Sobolev Inequalities

Related

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