Blaschke, Privaloff, Reade and Saks theorems for diffusion equations on Lie groups

DOI10.1007/s11118-012-9309-6zbMath1267.35242OpenAlexW2071376653WikidataQ115381426 ScholiaQ115381426MaRDI QIDQ1950464

Alessia Elisabetta Kogoj, Giulio Tralli

Publication date: 13 May 2013

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-012-9309-6

zbMATH Keywords

diffusion equationssubsolutionsultraparabolic equationshomogeneous Lie groupsmean-value operators

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Hypoelliptic equations (35H10) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (2)

Asymptotic average solutions to linear second order semi-elliptic PDEs: a Pizzetti-type theorem ⋮ The Role of Fundamental Solution in Potential and Regularity Theory for Subelliptic PDE

Cites Work

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• On the characterization of harmonic and subharmonic functions via mean-value properties
• Riesz and Poisson-Jensen representation formulas for a class of ultraparabolic operators on Lie groups
• Asymptotic behaviour of fundamental solutions and potential theory of parabolic operators with variable coefficients
• Superparabolic functions related to second order hypoelliptic operators
• Subharmonic functions in sub-Riemannian settings
• An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations
• Maggioranti e minoranti delle soluzioni delle equazioni paraboliche
• Some remarks on subharmonic functions
• Link of groups and homogeneous Hörmander operators
• Sub-solutions and mean-value operators for ultraparabolic equations on Lie groups
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Nevanlinna's first fundamental theorem for supertemperatures.
• Volume mean values of subtemperatures
• Elementary proofs of some basic subtemperature theorems
• A Theory of Subtemperatures in Several Variables
• A note on the operators of Blaschke and Privaloff
• Notions of convexity

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