Non-divergence form parabolic equations associated with non-commuting vector fields: boundary behavior of nonnegative solutions

DOI10.2422/2036-2145.201007_004zbMath1258.31005arXiv1008.5082OpenAlexW2963397859MaRDI QIDQ2915221

Marie Frentz, Elin Götmark, Nicola Garofalo, Kaj Nyström, Isidro Humberto Munive

Publication date: 21 September 2012

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.5082

zbMATH Keywords

parabolic equationCarnot-Carathéodory distanceHörmander rank condition

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (5)

Boundary behavior of non-negative solutions of the heat equation in sub-Riemannian spaces ⋮ Boundary estimates for non-negative solutions to non-linear parabolic equations ⋮ Wiener-type tests from a two-sided Gaussian bound ⋮ Estimates of the Green function and the initial-Dirichlet problem for the heat equation in sub-Riemannian spaces ⋮ On a non-smooth potential analysis for Hörmander-type operators

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