Intrinsic Taylor formula for non-homogeneous Kolmogorov-type Lie groups

DOI10.1007/978-981-97-0225-1_6zbMATH Open1548.35118MaRDI QIDQ6612906

Michele Pignotti, Stefano Pagliarani

Publication date: 1 October 2024

zbMATH Keywords

intrinsic Taylor polynomial

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Hypoelliptic equations (35H10) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Cites Work

• Regularity near the initial state in the obstacle problem for a class of hypoelliptic ultraparabolic operators
• Intrinsic Taylor formula for Kolmogorov-type homogeneous groups
• Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form
• Taylor formula for homogeneous groups and applications
• The Dirichlet problem for a class of ultraparabolic equations
• The Schauder estimate for kinetic integral equations
• The Schauder estimate in kinetic theory with application to a toy nonlinear model
• Schauder type estimates for degenerate Kolmogorov equations with Dini continuous coefficients
• Hardy-Littlewood-Sobolev inequalities for a class of non-symmetric and non-doubling hypoelliptic semigroups
• Local densities for a class of degenerate diffusions
• Intrinsic expansions for averaged diffusion processes
• Global Schauder estimates for a class of degenerate Kolmogorov equations
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Sharp Schauder estimates for some degenerate Kolmogorov equations
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