\(L^p\) and Schauder estimates for nonvariational operators structured on Hörmander vector fields with drift

DOI10.2140/apde.2013.6.1793OpenAlexW3103958907MaRDI QIDQ2509662

Maochun Zhu, Marco Bramanti

Publication date: 29 July 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5116

zbMATH Keywords

driftHörmander's vector fieldsSchauder estimates\(L^p\) estimates

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) A priori estimates in context of PDEs (35B45) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)

Related Items (13)

\(C^{1,\alpha}\)-regularity for quasilinear degenerate elliptic equation with a drift term on the Heisenberg group ⋮ W2,p a priori estimates for nonvariational operators: the sharp maximal function technique ⋮ Regularity for a nonlinear discontinuous subelliptic system with drift on the Heisenberg group ⋮ Global \(L^{p}\) estimates for degenerate Ornstein-Uhlenbeck operators ⋮ Partial regularity for a nonlinear discontinuous sub-elliptic system with drift on the Heisenberg group: the superquadratic case ⋮ Local real analysis in locally homogeneous spaces ⋮ Interior \(W_\ast^{1, p(x, t)}\)-regularity for parabolic divergence equations of Hörmander's type ⋮ Martingale problems for some degenerate Kolmogorov equations ⋮ Space regularity for evolution operators modeled on Hörmander vector fields with time dependent measurable coefficients ⋮ Regularity results for quasilinear degenerate elliptic obstacle problems in Carnot groups ⋮ Interior regularity for degenerate equations with drift on homogeneous groups ⋮ Strong regularization by Brownian noise propagating through a weak Hörmander structure ⋮ Schauder estimates at the boundary for sub-Laplacians in Carnot groups

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